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Differential transform solution of some linear wave equations with mixed nonlinear boundary conditions and its blow up
Wave Equation Series Solution Energy Equation, Blow up
2010/9/20
Using Differential Transform to solve blow up solutions of some linear wave equation with mixed non-linear boundary conditions is proposed in this study.Non-linear boundary conditions cause the finite...
Lower and Upper Solutions Method for First Order Differential Inclusions with Nonlinear Boundary Conditions
Initial value problem Convex multivalued map Differential inclusions Nonlinear boundary conditions Condensing map Fixed point Truncation map Upper and lower solutions
2008/7/1
In this paper a fixed point theorem for condensing maps combined with upper and lower solution are used to investigate the existence of solutions of first order differential inclusions with general no...
Upper and Lower Solutions Method for Discrete Inclusions with Nonlinear Boundary Conditions
Discrete Inclusions Convex valued multivalued map Fixed point Upper and lower solutions Nonlinear boundary conditions
2008/6/26
In this note the concept of lower and upper solutions combined with the nonlinear alternative of Leray-Schauder type is used to investigate the existence of solutions for first order discrete inclusio...
Some Notes on Reaction Diffusion Systems with Nonlinear Boundary Conditions
reaction-diffusion fast diffusion global existence blow-up
2007/12/10
This paper deals with the existence and nonexistence of global positive solution to a semilinear reaction-diffusion system with nonlinear boundary conditions. For the heat diffusion case, the necessar...