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Bloom, Frederick (1982) Asymptotic behavior of solutions to the damped quasilinear equation ∂2∂t2 u(x, t) + γ∂u∂t (x, t) − ∂∂xσ ∂u∂x (x, t)) = 0. Journal of Mathematical Analysis and Applications, 87. 551-559 doi:10.1016/0022-247x(82)90143-3

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Reference TypeJournal (article/letter/editorial)
TitleAsymptotic behavior of solutions to the damped quasilinear equation ∂2∂t2 u(x, t) + γ∂u∂t (x, t) − ∂∂xσ ∂u∂x (x, t)) = 0
JournalJournal of Mathematical Analysis and Applications
AuthorsBloom, FrederickAuthor
Year1982 (June)Volume87
PublisherElsevier BV
DOIdoi:10.1016/0022-247x(82)90143-3Search in ResearchGate
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Mindat Ref. ID12378119Long-form Identifiermindat:1:5:12378119:4
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Full ReferenceBloom, Frederick (1982) Asymptotic behavior of solutions to the damped quasilinear equation ∂2∂t2 u(x, t) + γ∂u∂t (x, t) − ∂∂xσ ∂u∂x (x, t)) = 0. Journal of Mathematical Analysis and Applications, 87. 551-559 doi:10.1016/0022-247x(82)90143-3
Plain TextBloom, Frederick (1982) Asymptotic behavior of solutions to the damped quasilinear equation ∂2∂t2 u(x, t) + γ∂u∂t (x, t) − ∂∂xσ ∂u∂x (x, t)) = 0. Journal of Mathematical Analysis and Applications, 87. 551-559 doi:10.1016/0022-247x(82)90143-3
In(n.d.) Journal of Mathematical Analysis and Applications Vol. 87. Elsevier BV

See Also

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Bloom, Frederick (1991) Long time existence of solutions for ∂2∂T2u(x,t) + ∂∂Tα(u(x,t)) = ∂2∂X2β(u(x,t)). Computers & Mathematics with Applications, 21. 41-56 doi:10.1016/0898-1221(91)90214-o
Lim, Eng-Bin (1976) Asymptotic behavior of solutions of the functional differential equation x′(t) = Ax(λt) + Bx(t), λ>0. Journal of Mathematical Analysis and Applications, 55. 794-806 doi:10.1016/0022-247x(76)90082-2
Greenberg, J.M, Tong, Donald D.M (1973) Decay of periodic solutions of ∂u∂t + ∂f(u)/∂x = 0. Journal of Mathematical Analysis and Applications, 43. 56-71 doi:10.1016/0022-247x(73)90257-6
Mahfoud, W.E (1977) Noncontinuation and uniqueness of solutions of the delay equation x(n)(t) + a(t) φ(x(t)) f(x(q(t))) = 0. Journal of Mathematical Analysis and Applications, 59. 617-627 doi:10.1016/0022-247x(77)90085-3
Walsh, Robert A (1969) Initial value problems associated with ut(x, t) = δuxx(x, t) − u(x, t) ux(x, t). Journal of Mathematical Analysis and Applications, 26. 235-247 doi:10.1016/0022-247x(69)90147-4
Greenberg, J.M (1973) The existence and qualitative properties of solutions of ∂u∂t + 12∂∂x [u2 + ∝0t c(s) u2(x, t − s) ds] = 0. Journal of Mathematical Analysis and Applications, 42. 205-220 doi:10.1016/0022-247x(73)90133-9
Pandolfi, L (1979) Some observations on the asymptotic behaviour of the solutions of the equation ẋ = A(t)x(λt) + B(t)x(t) λ > 0. Journal of Mathematical Analysis and Applications, 67. 483-489 doi:10.1016/0022-247x(79)90038-6
Cooke, Kenneth L (1967) Asymptotic theory for the delay-differential equation u′(t) = −au(t − r(u(t))). Journal of Mathematical Analysis and Applications, 19. 160-173 doi:10.1016/0022-247x(67)90029-7
Chen, Yong-shao (1992) The existence of periodic solutions of the equation x′(t) = −ƒ(x(t), x(t − τ)). Journal of Mathematical Analysis and Applications, 163. 227-237 doi:10.1016/0022-247x(92)90290-t
Heard, Melvin L (1973) Asymptotic behavior of solutions of the functional differential equation x′(t) = ax(t) + bx(tα), a > 1. Journal of Mathematical Analysis and Applications, 44. 745-757 doi:10.1016/0022-247x(73)90013-9
Wilcox, Ralph (1972) Bounds for approximate solutions to the operator differential equation Ẏ(t) = M(t)Y(t); applications to Magnus expansion and to ü + [1 + ƒ(t)]u = 0. Journal of Mathematical Analysis and Applications, 39. 92-111 doi:10.1016/0022-247x(72)90227-2
 
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