fa-problem.dvi

Similar documents
di-problem.dvi


chap1.dvi


取扱説明書[N906i]

A (1) = 4 A( 1, 4) 1 A 4 () = tan A(0, 0) π A π

08-Note2-web


DE-resume

S I. dy fx x fx y fx + C 3 C dy fx 4 x, y dy v C xt y C v e kt k > xt yt gt [ v dt dt v e kt xt v e kt + C k x v + C C k xt v k 3 r r + dr e kt S dt d

Chap9.dvi

(3) (2),,. ( 20) ( s200103) 0.7 x C,, x 2 + y 2 + ax = 0 a.. D,. D, y C, C (x, y) (y 0) C m. (2) D y = y(x) (x ± y 0), (x, y) D, m, m = 1., D. (x 2 y

( ) 2.1. C. (1) x 4 dx = 1 5 x5 + C 1 (2) x dx = x 2 dx = x 1 + C = 1 2 x + C xdx (3) = x dx = 3 x C (4) (x + 1) 3 dx = (x 3 + 3x 2 + 3x +

laplace.dvi

N/m f x x L dl U 1 du = T ds pdv + fdl (2.1)

LCR e ix LC AM m k x m x x > 0 x < 0 F x > 0 x < 0 F = k x (k > 0) k x = x(t)

( ) sin 1 x, cos 1 x, tan 1 x sin x, cos x, tan x, arcsin x, arccos x, arctan x. π 2 sin 1 x π 2, 0 cos 1 x π, π 2 < tan 1 x < π 2 1 (1) (

(1) (2) (3) (4) 1

1 1 3 ABCD ABD AC BD E E BD 1 : 2 (1) AB = AD =, AB AD = (2) AE = AB + (3) A F AD AE 2 = AF = AB + AD AF AE = t AC = t AE AC FC = t = (4) ABD ABCD 1 1

.. p.2/5

December 28, 2018

1 No.1 5 C 1 I III F 1 F 2 F 1 F 2 2 Φ 2 (t) = Φ 1 (t) Φ 1 (t t). = Φ 1(t) t = ( 1.5e 0.5t 2.4e 4t 2e 10t ) τ < 0 t > τ Φ 2 (t) < 0 lim t Φ 2 (t) = 0

S I. dy fx x fx y fx + C 3 C vt dy fx 4 x, y dy yt gt + Ct + C dt v e kt xt v e kt + C k x v k + C C xt v k 3 r r + dr e kt S Sr πr dt d v } dt k e kt

limit&derivative

DVIOUT

x A Aω ẋ ẋ 2 + ω 2 x 2 = ω 2 A 2. (ẋ, ωx) ζ ẋ + iωx ζ ζ dζ = ẍ + iωẋ = ẍ + iω(ζ iωx) dt dζ dt iωζ = ẍ + ω2 x (2.1) ζ ζ = Aωe iωt = Aω cos ωt + iaω sin

t = h x z z = h z = t (x, z) (v x (x, z, t), v z (x, z, t)) ρ v x x + v z z = 0 (1) 2-2. (v x, v z ) φ(x, z, t) v x = φ x, v z

Note.tex 2008/09/19( )

II K116 : January 14, ,. A = (a ij ) ij m n. ( ). B m n, C n l. A = max{ a ij }. ij A + B A + B, AC n A C (1) 1. m n (A k ) k=1,... m n A, A k k

arma dvi

4.6: 3 sin 5 sin θ θ t θ 2t θ 4t : sin ωt ω sin θ θ ωt sin ωt 1 ω ω [rad/sec] 1 [sec] ω[rad] [rad/sec] 5.3 ω [rad/sec] 5.7: 2t 4t sin 2t sin 4t

24 I ( ) 1. R 3 (i) C : x 2 + y 2 1 = 0 (ii) C : y = ± 1 x 2 ( 1 x 1) (iii) C : x = cos t, y = sin t (0 t 2π) 1.1. γ : [a, b] R n ; t γ(t) = (x


() (, y) E(, y) () E(, y) (3) q ( ) () E(, y) = k q q (, y) () E(, y) = k r r (3).3 [.7 ] f y = f y () f(, y) = y () f(, y) = tan y y ( ) () f y = f y

c 2009 i

ds2.dvi


x = a 1 f (a r, a + r) f(a) r a f f(a) 2 2. (a, b) 2 f (a, b) r f(a, b) r (a, b) f f(a, b)

meiji_resume_1.PDF

TOP URL 1

C-1 210C f f f f f f f f f f f f f f f f f f f f r f f f f f f f f f f f f f R R

森林航測87号

2011de.dvi

K 1 mk(

取扱説明書 [N-03A]

201711grade1ouyou.pdf

Part () () Γ Part ,

ii p ϕ x, t = C ϕ xe i ħ E t +C ϕ xe i ħ E t ψ x,t ψ x,t p79 やは時間変化しないことに注意 振動 粒子はだいたい このあたりにいる 粒子はだいたい このあたりにいる p35 D.3 Aψ Cϕdx = aψ ψ C Aϕ dx

(1.2) T D = 0 T = D = 30 kn 1.2 (1.4) 2F W = 0 F = W/2 = 300 kn/2 = 150 kn 1.3 (1.9) R = W 1 + W 2 = = 1100 N. (1.9) W 2 b W 1 a = 0



1 1. x 1 (1) x 2 + 2x + 5 dx d dx (x2 + 2x + 5) = 2(x + 1) x 1 x 2 + 2x + 5 = x + 1 x 2 + 2x x 2 + 2x + 5 y = x 2 + 2x + 5 dy = 2(x + 1)dx x + 1

陦ｨ邏・2


I 1

IS-LM (interest) 100 (net rate of interest) (rate of interest) ( ) = 100 (2.1) (gross rate of interest) ( ) = 100 (2.2)

LGBZ3107-T3A1

,. Black-Scholes u t t, x c u 0 t, x x u t t, x c u t, x x u t t, x + σ x u t, x + rx ut, x rux, t 0 x x,,.,. Step 3, 7,,, Step 6., Step 4,. Step 5,,.

<4D F736F F D B B BB2D834A836F815B82D082C88C602E646F63>

(1) (2) (3) (4) HB B ( ) (5) (6) (7) 40 (8) (9) (10)

入試の軌跡

50 2 I SI MKSA r q r q F F = 1 qq 4πε 0 r r 2 r r r r (2.2 ε 0 = 1 c 2 µ 0 c = m/s q 2.1 r q' F r = 0 µ 0 = 4π 10 7 N/A 2 k = 1/(4πε 0 qq

simx simxdx, cosxdx, sixdx 6.3 px m m + pxfxdx = pxf x p xf xdx = pxf x p xf x + p xf xdx 7.4 a m.5 fx simxdx 8 fx fx simxdx = πb m 9 a fxdx = πa a =

64 3 g=9.85 m/s 2 g=9.791 m/s 2 36, km ( ) 1 () 2 () m/s : : a) b) kg/m kg/m k

v_-3_+2_1.eps

油圧1.indd

128 3 II S 1, S 2 Φ 1, Φ 2 Φ 1 = { B( r) n( r)}ds S 1 Φ 2 = { B( r) n( r)}ds (3.3) S 2 S S 1 +S 2 { B( r) n( r)}ds = 0 (3.4) S 1, S 2 { B( r) n( r)}ds

II Karel Švadlenka * [1] 1.1* 5 23 m d2 x dt 2 = cdx kx + mg dt. c, g, k, m 1.2* u = au + bv v = cu + dv v u a, b, c, d R

Chap10.dvi

.3. (x, x = (, u = = 4 (, x x = 4 x, x 0 x = 0 x = 4 x.4. ( z + z = 8 z, z 0 (z, z = (0, 8, (,, (8, 0 3 (0, 8, (,, (8, 0 z = z 4 z (g f(x = g(

9 5 ( α+ ) = (α + ) α (log ) = α d = α C d = log + C C 5. () d = 4 d = C = C = 3 + C 3 () d = d = C = C = 3 + C 3 =

= M + M + M + M M + =.,. f = < ρ, > ρ ρ. ρ f. = ρ = = ± = log 4 = = = ± f = k k ρ. k



1 1 x y = y(x) y, y,..., y (n) : n y F (x, y, y,..., y (n) ) = 0 n F (x, y, y ) = 0 1 y(x) y y = G(x, y) y, y y + p(x)y = q(x) 1 p(x) q(



量子力学 問題

..3. Ω, Ω F, P Ω, F, P ). ) F a) A, A,..., A i,... F A i F. b) A F A c F c) Ω F. ) A F A P A),. a) 0 P A) b) P Ω) c) [ ] A, A,..., A i,... F i j A i A

sikepuri.dvi

18 I ( ) (1) I-1,I-2,I-3 (2) (3) I-1 ( ) (100 ) θ ϕ θ ϕ m m l l θ ϕ θ ϕ 2 g (1) (2) 0 (3) θ ϕ (4) (3) θ(t) = A 1 cos(ω 1 t + α 1 ) + A 2 cos(ω 2 t + α

2 Chapter 4 (f4a). 2. (f4cone) ( θ) () g M. 2. (f4b) T M L P a θ (f4eki) ρ H A a g. v ( ) 2. H(t) ( )


keisoku01.dvi

38

Lecture on

REALV5_A4…p_Ł\1_4A_OCF

untitled

「都市から地方への人材誘致・移住促進に関する調査」

<91498EE88CA D815B2E786C73>

〔　大　会　役　員　〕

橡本体資料＋参考条文.PDF

A A3

: , 2.0, 3.0, 2.0, (%) ( 2.

176 B B.1: ( ) ( ) ( ) (2 2 ) ( ) ( ) ( ) (quantitative nondestructive evaluation:qnde) (1) X X X X CT(computed tomography)

pdf

D = [a, b] [c, d] D ij P ij (ξ ij, η ij ) f S(f,, {P ij }) S(f,, {P ij }) = = k m i=1 j=1 m n f(ξ ij, η ij )(x i x i 1 )(y j y j 1 ) = i=1 j

1 26 ( ) ( ) 1 4 I II III A B C (120 ) ( ) 1, 5 7 I II III A B C (120 ) 1 (1) 0 x π 0 y π 3 sin x sin y = 3, 3 cos x + cos y = 1 (2) a b c a +

SAR: Synthetic Aperture Radar 0.52 Radarsat SAR 2004 ALOS i

ARspec_decomp.dvi

Transcription:

6//4 by. : : : : : : : : : : : : : : :. : : : : : : : : : : : : : : 3. : : : : : : : : : 4. : : : : : : : : : 3 5. : : : : : : : : : : : : : : : : : : : 3 6. : : : : : : : : : : : : 3 7. : : : : : : : : : : : 3 8. : : : : : : : : : : : : 3 9. : : : : : : : : : : 3. : : : : : : : : : : : : : : : : : : : : : : 4. : : : : : : : : : : : : : : : : : : : : : 4. : : : : : : : : : : : : : : : 4 3. : : : : : : : : : : : : : : 4 4. : : : : : : : : : : : : : : : : : : : : : : 5 5. : : : : : : : : : : : : : : : : : : : : 5 6. : : : : : : : : : : : : : : : : : : : : : : : : 5 7. : : : : : : : : : : : : : : : : : : : : : : : : 5 8. LCR : : : : : : : : : : : : : : : : : : : : : : : 6 9. LCR : : : : : : : : : : : : : : : : : : : 6 7. (A): (B): (C):

... () at + b () at + bt + c (3) e at+b (4) co(t + ) (5) in(t + ) (6) co t (7) in t ( 8 a (» < at t<b) (» t<b) (8) f (t) (9) f (t) b (b» t) : (b» t) 8 8 < a at (» >< (» t<b) t<b) () f 3 (t) b () f : 4 (t) a (b» t<c) (b» t) >: (c» t) () (8) a h ; b h. () () h? (3) () a ; b d h; c d + h. h (3) (3) h? (3) (3)' d? ( (» t<b) (4) f 5 (t) a (b» t) f(t) (8) f(t) (9) f(t) () f(t) () a a a a b t b t b t b c t.. b b a b c d () () (3) (4) + a + a a + + + 3 4 4 (5) (6) (a 6 b) (7) ( +) ( a)( b) + +4 3. 3. L[f L[f (t)]() +f () (t)]() () t + a () (t + b) (3) (t + c) 3

4. 4. L[f L[f (t)]() +f () (t)]() ; L[f (t)]() L[f (t)]() f () f () () co t () t in t (3) t co t (4) e at in t (5) e at co t (6) te at 5. 5. () y (t) + y(t) ; y() y ; y () v () y (t) (ff + fi)y (t) +fffiy(t) ; y() y ; y () v (ff 6 fi) (3) y (t) ffy (t) +ff y(t) ; y() y ; y () v (4) y (t) ffy (t) +(ff + fi )y(t) ; y() y ; y () v (fi>) (5) y (t) 3y (t) +3y (t) y(t) e t ; y() y () y () 6. 6. () t in t () t co t (3) t n (4) t coh at (5) t inh at (6) t e t 7. L[f (t)] F () L[tf (t)] F () F () F () tf (t) L [ F ()] f (t) 7. ()()(3) 6.()() (4)(5) () () (3) (4) log + (5) log ( + ) ( + ) ( + ) 8. 8. () t m e at () e at in t (3) e at co t (4) te at in t 9. 9. + () () ( +) + ( +) + (3) + +5 (4) 4 + +4 3

.. (i) (ii) () ( + ) () ( + ). Λ convolution f Λ g(t) f (t fi )g(fi ) dfi: f (t) Λ g(t). () f Λ g(t) g Λ f (t) () f Λ (g + h)(t) f Λ g(t) +f Λ h(t) (3) (f Λ g) Λ h(t) f Λ (g Λ h)(t).. U () L[u(t)]() () (3) (t fi ) n u(fi ) dfi () co(t fi )u(fi ) dfi (4) in(t fi )u(fi ) dfi e t fi u(fi ) dfi 3. H() F ()G(), F () L[f (t)], G() L[g(t)] L [H()] L [F ()G()] L [L[f (t)]l[g(t)]] L [L[f Λ g(t)]] f Λ g(t) H() 3. () ( a) () ( a) (3) ( + ) (4) ( + ) (5) ( + ) (6) ( + ) (7) ( + ) 4

4. 4. () y(t) t ++ () y(t) + (3) y(t) +t + (4) y(t) int + (5) y(t) int + in(t fi )y(fi ) dfi co(t fi )y(fi ) dfi e t fi y(fi ) dfi in (t fi )y(fi ) dfi in(t fi )y(fi ) dfi 5. 5. () y (t) y(t) ++ e t fi y(fi ) dfi; y(). () y (t) t + (t fi )y(fi ) dfi; y() y (). 6. 6. Mu (t) Ku(t) μu (t); t> u() u ; u () v M;μ;K 7. 7. Mu (t) Ku(t) μu (t) +K in pt; t> u() ; u () M;K;K ;μ;p 5

8. LCR 8. LCR I R (t) + L I (t) + I(t) ; t> LC I(t) I() I ; I () I R;L fl R L p LC q () >fl ( fl J I +fli ) q () <fl ( fl J I +fli ) (3) fl (J I + fli ) 9. LCR 9. LCR E(t) I (t) + R L I(t) + LC I(t) I() I I(fi ) dfi E(t); t> R;L fl R L p LC E(t) E ;p;a;b 8 >< (» t<a) () E(t) E () E(t) E in pt (3) E(t) E (a» t<b) >: (b» t) ( 8 E (» < E t<a) (4) E(t) (5) E(t) a t (» t<a) (a» t) : (a» t) E(t) (3) E(t) (4) E(t) (5) E E E a b t a t a t (6) E(t) ffi(t) : ( (» t<a) (7) E(t) : E (a» t) 8 < E (8) E(t) a t (» t<a) : (5)(7) : E (a» t) 6 (3): () (4): (8) (5): (9) (6): ()'(3)"

. () L[at + b] al[t] +bl[] a + b. () L[at + bt + c] al[t ]+bl[t] +cl[] a 3 + b + c. (3) L[e at+b ]L[e b e at ]e b L[e at ] eb a. (4) L[co(t + )] L[co t co in t in ] co L[co t] in L[in t] (5) L[in(t + )] L[in t co + co t in ] co L[in t] +in L[co t]» co t + (6) L[co t]l (L[co t] +L[]) + ( +4). (7) L[in t]l[ co t]l[] L[co t] (8) L[f (t)] (9) L[f (t)] Z b Z b ae t dt a( e b ). a b te t dt a( ( + b)e b ) b. ( +4). () (8) f (t), (9) f (t) f 3 (t) f (t) f (t) L[f 3 (t)] L[f (t)] L[f (t)] a(b +e b ) b : () L[f 4 (t)] Z c b ae t dt a(e b e c ). () e h : () e h lim h h h (3) e d e h e h (4) L[f 5 (t)] h Z b : : (3) e d e h e h lim h h ae t dt ae b. e d : (3) lim e d : d co in + : co + in + : (4)(5). L[e i(t+ ) ]e i L[e it ]. ei i (co + i in )( + i) + () (3). L[ffi(t)]. (3). L[ffi(t d)] e d L[ffi(t)] e d. 7

.»» b () L bl be at. + a ( a)» () L a» a + a L in at. + a a»»» b (3) L L bl a a a coh at b» a a L coh at b inh at. a a» a (4) L b c d h a i» b h» c d + + + L +L +L i+l» 3 4» 3 4 al + bl + c» L + d» 3 3 3 L a + 4 bt + c t + d 6 t3.»» (5) L L ( +) co t. +»» (6) L ( a)( b) a b L a b e bt ).» (7) L 4 e t co + +4 (5). A; B; C ( +) A + B + C + a b (eat p 3t p 5 p in 3t. 3 ( ) ( A) ( +) (B + C) (6) 3 ( +) 3 ( +) A + B + C D + + E 3 ( +) A + B + C 3 + D + E A ( +) + B + C D( +)+E D + 3 ( +) A B C D + + + 3 + + E ( : +) ( E E D ) 8

(7). 4 ( +) 5 + +4 ( +) +3 + ( 5 +) +3 ( +) +3 ψ F p () 5 +3 +3 p 5 3 p +( 3) 3 p +( 3) (?) (Π) (?) F ( +) F () F ( +) ( 9.(4) ) + +4 ± ± p 3i 4 + +4 5 p 3i ( + )( ) (6)»» " L 4 L L 5 p # 3i + +4 ( + )( ) e t 5 p 3i e +t e t +» L 4 e t co p3t 5 p p in 3t + +4 3 (Π) x8. x9. 3. () () (3) () () L[t + a] L[] + a () L[(t + b) ] a +. L[(t + b)] + b (3) L[(t + c) 3 ] L[3(t + c) ]+c 3 6c 3 + 6 4. b + L[t b + b] b + +. 3 c3 + 3 L[(t + c) ] c3 + 3c +. L[t + a] L[t] + L[a] L[(t + b) ]L[t ]+L[bt] +L[b ] L[(t + c) 3 ]L[t 3 ]+L[3ct ]+L[3c t]+l[c 3 ] 9

4. L[f (t)] L[f (t)] () L[co t] L[ cot in t] + L[ in t] + + ( +4). () L[(t in t) ] L[t in t] L[co t] L[t in t] L[t in t] + L[co t] ( + ). (3) () L[(t co t) ]L[co t] L[t in t] ( ) ( + ) L[t co t] L[(t co t) ]+ ( + ). (4) F 4 () L[e at in t], F 5 () L[e at co t] L[(e at in t) ]af 4 ()+F 5 () F 4 (). ( a)f 4 F 5. (5) (4) F 4 ;F 5 L[(e at co t) ]af 5 () F 4 () F 4 (). F 4 +( a)f 5 (). (4)(5) Fψ 4 ;F 5 ψ ψ ψ a F 4 a F 5 F 4 F 5 ψ. ( a) + a (6) F 6 () L[te at ] L[(te at ) ] L[e at + ate at ] a + af 6 (). F 6 () L[(teat ) ]+ a + af 6() F 6 () ( a). (). ) L[co t]l[] L[in t] L[in t].(7) ) co t (co t +).(6) ()(3). L[t in t] d L[in t]; d L[t co t] d L[co t] d 6.()()

(4)(5). ) L[e at e it ]L[e (a+i)t ] ) L[e at in t]() L[in t]( a); L[e at co t]() L[co t]( a).(7) 8.()(3) 5. L[y(t)] Y () () L[y (t)] + L[y(t)] Y () y() y () + Y () ( + )Y () y v. Y y + v () + y v + + +. y(t) L [Y ()] y co t v + in t. () L[y (t)] (ff + fi)l[y (t)] + fffil[y(t)] Y () y() y () (ff + fi)y () +(ff + fi)y() + fffiy () ( (ff + fi) + fffi)y () y v +(ff + fi)y. Y () y + v (ff + fi)y ( ff)( fi) c v fiy ff fi, c ffy v ff fi. y(t) L [Y ()] c e fft + c e fit. (3) L[y (t)] ffl[y (t)] + ff L[y(t)] c ff + c fi. ( ff + ff )Y () y() y () + ffy() ( ff) Y () y +ffy v. Y y ffy + v c c () ( ff) ff + ( ff). c y, c v ffy. y(t) L [Y ()] (c + c t)e fft. (4) L[y (t)] ffl[y (t)] + (ff + fi )L[y(t)] ( ff + ff + fi )Y () y() y () + ffy() (( ff) + fi )Y () y +ffy v. Y y ffy + v c ( ff) c () ( ff) + fi ( ff) + fi + fi ( ff) + fi. c y, c v ffy. fi y(t) L [Y ()] e fft (c co fit + c in fit). (5) L[y (t)] 3L[y (t)] + 3L[y (t)] L[y(t)] ( 3 3 +3 )Y () y() y () y () + 3(y() + y ()) 3y() ( ) 3 Y () L[e t ]. Y () ( ) 3 4 3 ( ). 4 y(t) L [Y ()] 6 et t 3.

(3). 4.(6) (4)..(7) 9. (5). 8.(). y (t) +ay (t) +by(t) f (t) (Λ) dm dt m m Y () ( + a + b)y () +( ) L[f (t)]() (ΛΛ) ( ). (Λ) 3 D d dt (D + ad + b)y(t) y (t) (Λ) y Λ (t) 3 (Λ) y (t) +y Λ (t) y (t) +y Λ (t) 6. () L[t in t] d d L[in t] d d + ( + ). () L[t co t] d d L[co t] d d + ( + ). (3) L[t n ] d n d n L[] ( ) n d d ( )n ( ) n n n n+ : n+ (4) L[t coh at] d d L[coh at] d d a + a ( a ). (5) L[t inh at] d d L[inh at] d a d a (6) L[t e t ] d d L[e t ] d d ()(). 4.()(3) (6). 8.() a ( a ). ( ). 3 7. () 6.() () 6.() (3) () 6.() (4)(5) d L[f (t)] L[tf (t)], d» f (t) t L d d L[f (t)]

() ( + ) + ( ) ( + ) + ( + ) 6.()»»» L ( + ) L L + ( + ) in t t co t (in t t co t). 3»» () L ( + ) L t in t. ( + )»»» (3) L L + L ( + ) ( + ) ( + ) t co t + (in t t co t) (in t + t co t). (4) d d log + +» L»log + t L ( co t). + t (5) d d log» L»log t L t (et ). 8. () L[t m e at ]() L[t m ]( a) () L[e at in t]() L[in t]( a) m ( a) m+. (3) L[e at co t]() L[co t]( a) ( a) +. a ( a) +. (4) L[te at in t]() d d L[eat in t]() d L[in t]( a) d d d ( a) + ( a) (( a) + ). (). 4.(6) 5.(5) 6.(6) (4). 6.() L[te at in t]() L[t in t]( a) 9. ( a) (( a) + ) : () F () F ( +). + L [F ()] co t L [F ( +)]e t co t. () F () F ( +). + L [F ()] in t L [F ( + )] e t in t. 3

( +) (3) + +5 ( +) + F () F ( +). + + L [F ()] co t in t L [F ( + )] e t ( co t in t). (4) 4 + +4 F () ( +) 5 ( +) +3 +3 5 L [F ()] co F ( +). +3 p 3t p 5 in 3 p 3t L [F (+)] e co p3t t p 5 p in 3t 3. (4)..(7). (i) (ii) () (i) L[in t] +» L» ( + ) L L[in t]»» (ii) L ( + ) L + () (i) ()» L ( co t) ( + )» L ( + ) ( co t): L» L» ( co t) in fi dfi (co t ): Z t ( co fi) dfi (t in t) (t in t): 3»» (ii) L L ( + ) + (t in t) (t in t): 3 ()(ii). A + B + C + D + : (ii) (i) 4

. () (f Λ g)(t) Z (?) t f (t fi )g(fi ) dfi f (r)g(t r)( dr) g(t fi )f (fi ) dfi (g Λ f )(t). (?) r t fi (dr dfi ) () (f Λ (g + h))(t) (3) ((f Λ g) Λ h)(t) f (t fi )g(fi ) dfi + fi (f Λ(gΛh))(t) r)h(r) dr dfi Z fi ρ fi f (t fi )(g(fi )+h(fi )) dfi f (t fi )h(fi ) dfi (f Λg)(t)+(f Λh)(t). (f Λ g)(t fi )h(fi ) dfi f (t fi r)g(r) dr h(fi ) dfi f (t fi )(gλh)(fi ) dfi f (t fi )g(fi r)h(r) dr dfi (i) f (t fi ) (ii) (i) (ii) ff (i) f (t fi r)g(r) dr h(fi ) dfi (ffl) (Π) (Λ) Z t Z fi t Z fi t Z ρ Z fi (.) (ii) f (t ρ)g(ρ fi ) dρ h(fi ) dfi f (t ρ)g(ρ fi )h(fi ) dρ dfi f (t ρ)g(ρ fi )h(fi ) dfi dρ f (t fi )g(fi r )h(r ) dr dfi Z fi g(fi (ffl) ρ fi + r (dρ dr) (Π) ρ fi (Λ) fi r ;ρ fi (.) r r;fi fi. (Λ) (.) (Λ) fi r;ρ fi. () () (3) (f Λ )(t) (Λ f )(t) 5

? ( Λ g)(t) (g Λ )(t) 6 g(t); (f Λ f )(t) 6 (ffi). (ffi) g(t) f (t). g(t) t, f (t) co t ( Λ g)(t) (f Λ f )(t) (t fi ) dfi t 6 g(t). co fi co(t fi ) dfi (t co t + in t) t ß (f Λ f )(t) <.. () (t fi ) n u(fi ) dfi t n Λ u(t) L[t n Λ u(t)] L[t n ]L[u(t)] n U (): n+ () in(t fi )u(fi ) dfi int Λ u(t) L[in t Λ u(t)] L[in t]l[u(t)] + U (): (3) (4) co(t fi )u(fi ) dfi cot Λ u(t) L[co t Λ u(t)] L[co t]l[u(t)] e t fi u(fi ) dfi e t Λ u(t) + U (): L[e t Λ u(t)] L[e t ]L[u(t)] U (): 3.»» () L L ( a) L L [t] L e atλλ L L t Λ e atλλ a () L» ( a) (t fi )e afi dfi a (eat at ):» L a L L e atλ L e atλλ L L e at Λ e atλλ a e a(t fi ) e afi dfi te at : 6

. 4.(6), 5.(3) (3).()»»»» L L ( + ) in t L L [] L +» L»L Λ in t in fi dfi ( co t): (4).() (3)»»»» L L ( + ) co t L L [] L ( + )» L»L Λ co t (5) 7.() ( co fi) dfi (t in t): 3»»»»» L L ( + ) + in t in t L L L +» in t L»L in t Λ in (t fi ) in fi dfi (in t t co t): 3. in ff in fi (co(ff+fi) co(ff fi)) (6) 7.()»» L L ( + ) +» in t L»L Λ co t» L L +» in t L [co t] in (t fi )cofi dfi t in t:. in ff co fi (in(ff +fi) + in(ff fi)) 7

(7) 7.(3)»» L L ( + ) + L [L [co t] L [co t]] + L [L [co t Λ co t]] co (t fi )cofi dfi (t co t + in t):. co ff co fi (co(ff+fi)+co(ff fi)) 4. L[y(t)] Y () Y () Y () y(t) () Y () L[t +]+L[in t Λ y(t)] L[t] +L[] + L[in t]y () + + Y () + Y () ( + )( +) 4 + + + 3 3 3. 4 y(t) L [Y ()] + t + t + t3 6. () Y () L[]+L[co tλy(t)] L[]+L[co t]y () + Y + () Y () + ( ) + (?) ( ) y(t) L [Y ()] + te t.. (?) 4.(6) (3) Y () L[ + t]+l[e t Λ y(t)] L[] + L[t]+L[e t ]Y () + + Y () Y () ( ) + ( ) ( ) y(t) L [Y ()] e t 4 (et t ) 4 + t + 3 4 et.. ( ) 3.() (4) Y () L[in t] +L[in t Λ y(t)] L[in t] p +L[in t]y () L[in t] p Y () L[in t] + p +. y(t) p p L [Y ()] in t. (5) Y () L[in t]+l[in tλy(t)] L[in t]+l[in t]y () Y () L[in t] L[in t]. y(t) L [Y ()] t. 8

. () y(t) t++in t co fiy(fi ) dfi co t in fiy(fi ) dfi ( ) y (t) +co t co t in ty(t) y (t) in t in ty(t) t + y(t) +y(t) t +. co fiy(fi ) dfi +in t co ty(t)+in t co fiy(fi ) dfi + co ty(t) +cot in fiy(fi ) dfi ( ) in fiy(fi ) dfi + ( ) y (t) t + t + C. y(t) 6 t3 + t + C t + C. ( ) y(), ( ) y () C C. y(t) +t + t + 6 t3. 5. L[y(t)] Y () 4. () Y () y() L[y(t)] + L[] + L[e t Λ y(t)] Y ()+ + Y () y() Y () ( ) + (~) ( ) y(t) L [Y ()] t + 4 (et t ) 4 + t + 4 et.. (~) 3.() () Y () y() y () L[t] +L[t Λ y(t)] L[t] +L[t]Y () + Y () Y () 4. y(t) L [Y ()] + (inh t in t). r K 6. M, k μ M u (t) +ku (t) + u(t). U () L[u(t)] U () u v +k(u () u )+ U () ( +k+ )U () u v ku. U u + v +ku () (~). +k + k ± p k 3 9

(k > ). ff (k p k ) > fi (k + p k ) 5.() u(t) c e fft +c e fit. c v p +(k + k )u p ; c v +(k p k )u p. k k fi <ff< μ > 4KM, k> u (k ). ff k 5.(3) u(t) (c + c t)e fft. c u ; c v + ku. ff < μ K μ 4KM, k u c c < p 3(k <). ff ± ifi (ff k; fi k ) 5.(4) u(t) (c co fit + c in fit)e fft. c u ; c v + ku p k. ff < μ < 4KM, k< u μ k ff, fi c co t + c in t

2024 © docsplayer.net プライバシー | 利用規約 | フィードバック