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In recent years, a lot of attention is made by many mathematicians and scien- tists to develop the methods for exact Solitary wave solutions of partial differential equations, such
Key words and phrases : Riccati equations, periodic solutions, Fourier series, power series, complex plane,
Walsh’s theory of martingale measures in order to deal with stochastic partial differential equations that are second order in time, such as the wave equation and the beam equation,
Lototsky, Sobolev spaces with weights in domains and boundary value problems for degenerate elliptic equations , Methods and Applications of Analysis, 1 (2000), no.1, 195-
Key words: Voter model, Lotka-Volterra model, spatial competition, stochastic partial differen- tial equations, long-range limits.. AMS 2000 Subject Classification: Primary
These were used to give rigorous meaning to stochastic partial differential equations (s.p.d.e.’s), primarily parabolic equations driven by space-time white noise, though Walsh
We consider a system of nonlinear partial differential equations with stochastic dynamical boundary conditions that arises in models of neurophysiology for the diffusion of
In the subsequent sections we apply the basic definition to the following partial differential equations and systems: nonlinear Poisson equations, p-Laplace equations,
