On the discrete boundary value problem for anisotropic equation
Using critical point theory methods we undertake the existence and multiplicity of solutions for discrete anisotropic two-point boundary value problems.
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arXiv subjects
Marek Galewski
Publications and source records attributed to Marek Galewski.
A note on the dependence on parameters for a nonlinear system via monotonicity theory
Using monotonicity theory we investigate the continuous dependence on parameters for the discrete BVPs which can be written in a form of a nonlinear system.
math.CA↗
Continuous dependence on parameters for second order discrete BVP's
Using min-max inequality we investigate the existence of solutions and thier dependence on parameters for some second order discrete boundary value problem. The approach is based on variational methods and solutions are obtained as saddle points to the Euler action functional.
math.CA↗
Dependence on parameters for a discrete Emden-Fowler equation
We investigate the dependence on parameters for the discrete boundary value problem connected with the Emden-Fowler equation. A variational method is used in order to obtain a general scheme allowing for investigation the dependence on paramaters of discrete boundary value problems.
math.CA↗
Dependence on parameters for discrete second order boundary value problems
We investigate the dependence on parameters for second order difference equations with two point boundary value conditions by using a variational method in case when the corresponding Euler action functional is coercive. Some applications for discrete Emden-Fowler equation are also given.
math.CA↗