Existence of solutions of a system of two ordinary differential equations with a modular-cubic type nonlinearity

DOI10.1134/S0040577923050124zbMath1527.34099MaRDI QIDQ6161028

B. V. Tishchenko

Publication date: 2 June 2023

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

small parametersystem of nonlinear equationsupper and lower solutionsstrong solutionsinternal layerdiscontinuity of first kindsolution asymptotics

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Discontinuous ordinary differential equations (34A36) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Cites Work

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• Modular solitons
• The method of upper and lower solutions for equations of elliptic type with discontinuous nonlinearities
• On front motion in a Burgers-type equation with quadratic and modular nonlinearity and nonlinear amplification
• Existence and stability of the solution to a system of two nonlinear diffusion equations in a medium with discontinuous characteristics
• Development of methods of asymptotic analysis of transition layers in reaction-diffusion-advection equations: theory and applications
• On a periodic inner layer in the reaction-diffusion problem with a modular cubic source
• Steplike contrast structure in a singularly perturbed system of equations with different powers of small parameter

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