Periodic solutions of a quasilinear parabolic equation with nonlinear convection terms

被引:0
作者
Songsong Li
Xiaofeng Hui
机构
[1] Harbin Institute of Technology,School of Management
来源
Advances in Difference Equations | / 2012卷
关键词
Positive Constant; Generalize Solution; Periodic Solution; Parabolic Equation; Dirichlet Boundary;
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摘要
In this paper, we study a periodic quasilinear parabolic equation with nonlinear convection terms and weakly nonlinear sources. Based on the theory of the Leray-Schauder fixed point theorem, we establish the existence of periodic solutions when the domain of the solution is sufficiently small.
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[1]  
Badii M(2001)Periodic solutions for a class of degenerate evolution problems Nonlinear Anal 44 499-508
[2]  
Badii M(1995)Periodic solutions of a quasilinear parabolic boundary value problem arising in unsaturated flow through a porous medium Appl. Anal 56 279-301
[3]  
Diaz JI(1986)Periodic behaviour for the evolutionary dam problem and related free boundary problems evolutionary dam problem Commun. Partial Differ. Equ 11 1297-1377
[4]  
Dibenedette E(1996)Generalized periodic solutions of quasilinear equations Ukr. Math. J 48 453-459
[5]  
Friedman A(2001)Time-periodic solutions of quasilinear parabolic differential equations: I. Dirichlet boundary conditions J. Math. Anal. Appl 264 617-638
[6]  
Khoma LG(2002)Periodic solutions for double degenerate quasilinear parabolic equations Nonlinear Anal 51 1245-1257
[7]  
Khoma NG(1982)Periodic solutions of coupled semilinear parabolic boundary value problems Nonlinear Anal 6 237-252
[8]  
Lieberman GM(1969)Periodic solutions of the first boundary value problem for parabolic equations Am. Math. Soc. Transl. Set 79 215-229
[9]  
Liu ZH(2010)Periodic solutions of quasilinear parabolic systems with nonlinear boundary conditions Nonlinear Anal. TMA 72 3429-3435
[10]  
Liu BP(2005)Existence of the nontrivial nonnegative periodic solutions for the quasilinear parabolic equation with nonlocal terms Comput. Math. Appl 50 1293-1302