Boundary-value problem for singularly perturbed integro-differential equation with singularly perturbed Neumann boundary condition

DOI10.1134/s1061920823030081zbMath1526.45006MaRDI QIDQ6052498

Anatolia G. Nikitin, E. I. Nikulin, Nikolai N. Nefedov

Publication date: 22 September 2023

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

boundary-value problemreaction-diffusion processessingularly perturbed integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Stability theory for integral equations (45M10) Theoretical approximation of solutions to integral equations (45L05)

Cites Work

• A non-local bistable reaction-diffusion equation with a gap
• An integrodifferential model for phase transitions: stationary solutions in higher space dimensions
• Almost periodic traveling waves of nonlocal evolution equations
• Dynamics of a reaction-diffusion equation with nonlocal inhibition
• Method of differential inequalities for step-like contrast structures in singularly perturbed integro-differential equations in the spatially two-dimensional case
• Boundary and internal layers in the reaction-diffusion problem with a nonlocal inhibitor
• Periodic Solutions with a Boundary Layer of Reaction–Diffusion Equations with Singularly Perturbed Neumann Boundary Conditions
• The asymptotic method of differential inequalities for singularly perturbed integro-differential equations
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