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

Michal Feckan; K. Marynets

doi:10.36686/Ariviyal.NAAM.2020.01.02.007

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

Michal Feckan, K. Marynets

Mathematical Physics

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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.

Original language	English
Pages (from-to)	1-7
Journal	Numerical Analysis and Applicable Mathematics
Volume	1
Issue number	2
DOIs	https://doi.org/10.36686/Ariviyal.NAAM.2020.01.02.007
Publication status	Published - 8 Jul 2020

Keywords

lower and upper solutions
nonlinear boundary-value problem
monotone method
exponential nonlinearity
Dirichlet boundary condition

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10.36686/Ariviyal.NAAM.2020.01.02.007

Ariviyal.NAAM.2020.01.02.007Final published version, 1.01 MBLicence: CC BY

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title = "Study of differential equations with exponential nonlinearities via the lower and upper solutions' method",

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.",

keywords = "lower and upper solutions, nonlinear boundary-value problem, monotone method, exponential nonlinearity, Dirichlet boundary condition",

author = "Michal Feckan and K. Marynets",

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KW - lower and upper solutions

KW - nonlinear boundary-value problem

KW - monotone method

KW - exponential nonlinearity

KW - Dirichlet boundary condition

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DO - 10.36686/Ariviyal.NAAM.2020.01.02.007

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JO - Numerical Analysis and Applicable Mathematics

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

Abstract

Keywords

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