Study of differential equations with exponential nonlinearities via the lower and upper solutions' method

Journal article (2020)

Authors

Michal Feckan Mathematical Institute of Slovak Academy of Sciences, Comenius University
K. Marynets Mathematical Physics - EEMCS
Research Group
Mathematical Physics (EEMCS) (TU Delft)
Copyright: © 2020 Michal Feckan, K. Marynets
DOI: https://doi.org/10.36686/Ariviyal.NAAM.2020.01.02.007
Lower and upper solutions Nonlinear boundary-value problem Monotone method Exponential nonlinearity Dirichlet boundary condition
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Published Date

08-07-2020

Language

English

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Mathematical Physics

Abstract

We present original results in study of the second-order differential equation with exponential non-linearities, subjected to the Dirichlet boundary conditions. Using the proper substitution techniques, we reduce the given problem to the study of its lower and upper solutions.