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We prove an existence and uniqueness result for the infinitely delayed stochastic evolution equation $$dU(t) = &\big(AU(t) + F(t,U_t)\big) dt + B(t,U_t)dW_H(t), t\in[0,T_0]$$ where $A$ is the generat...
In this paper we establish the existence and uniqueness of solutions for nonlinear evolution equations on Banach space with locally monotone operators, which is a generalization of the classical resu...
We study linear time fractional diffusion equations in divergence form of time order less than one. It is merely assumed that the coefficients are measurable and bounded, and that they satisfy a unifo...
We study local conservation laws for evolution equations in two independent variables. In particular, we present normal forms for the equations admitting one or two low-order conservation laws. Exampl...
The dynamics of weakly nonlinear wave trains in unstable media is studied. This dynamics is investigated in the framework of a broad class of dynamical systems having a Hamiltonian structure. Two diff...
The purpose of the paper is to set up a scheme which embodies and generalizes a wide class of phase-transition models and, moreover, provides a direct approach which avoids ad-hoc assumptions. The sta...
In this paper, we consider the global existence and the asymptotic behavior of solutions to the Cauchy problem for the following nonlinear evolution equations with ellipticity and dissipative effects:...
摘要 In this paper, an isospectral problem with five potentials is investigated in loop algebra $\tilde{A}_2$ such that a new hierarchy of evolution equations with five arbitrary functions is obtained...
2007Vol.47No.6pp.975-980DOI: Approximate Generalized Conditional Symmetries for Perturbed Evolution Equations ZHANG Shun-Li,1,2 WANG Yong,1 and LOU Sen-Yue2 1 Center for...
2006Vol.46No.5pp.804-806DOI: Jacobi Elliptic Function Solutions of Some Nonlinear Evolution Equations YE Cai-Er Department of Mathematics, Zhejiang Forestry University, ...
2006Vol.45No.5pp.785-789DOI: Extended Riccati Equation Rational Expansion Method and Its Application to Nonlinear Stochastic Evolution Equations WANG Mei-Jiao1 and WANG Qi2,3 ...
2006Vol.45No.2pp.219-223DOI: Trial Equation Method to Nonlinear Evolution Equations with Rank Inhomogeneous: Mathematical Discussions and Its Applications LIU Cheng-Shi ...
2006Vol.45No.2pp.236-238DOI: Exact Solutions of Some (1+1)-Dimensional Nonlinear Evolution Equations SHEN Shou-Feng Department of Mathematics, Zhejiang University of Tec...
2003Vol.40No.2pp.129-132DOI: The Periodic Wave Solutions for Two Nonlinear Evolution Equations ZHANG Jin-Liang,1 WANG Ming-Liang,2,3 CHENG Dong-Ming,2 and FANG Zong-De1 ...
2003Vol.40No.1pp.53-56DOI: Lame Function and Its Application to Some Nonlinear Evolution Equations FU Zun-Tao,1,2 LIU Shi-Kuo,1 LIU Shi-Da,1,2 and ZHAO Qiang1 1 School...

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