On the solvability of nonlinear partial differential equations of a high order with deviating argument in lowest terms

DOI10.3103/S1066369X16070021zbMath1386.35045OpenAlexW2422698760MaRDI QIDQ309431

O. I. Bzheumikhova, V. N. Lesev

Publication date: 7 September 2016

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x16070021

zbMATH Keywords

boundary-value problemdeviating argumentpartial differential equationmethod of asymptotic expansionsFourier method

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Cites Work

• Periodic solutions of nonlinear delay differential equations using spectral element method
• Quasi-periodic solutions for perturbed autonomous delay differential equations
• Initial-boundary value problem for a difference-differential diffusion equation with fractional derivative and distributed delay
• Explicit solutions of the nonlinear partial differential equations
• Non-linear partial differential equations with discrete state-dependent delays in a metric space
• Construction of oscillating solutions of first-order nonlinear differential equations with deviating argument
• Gellerstedt problem for a differential-difference equation of mixed type with advanced-retarded multiple deviations of the argument
• Functional constraints method for constructing exact solutions to delay reaction-diffusion equations and more complex nonlinear equations
• Boundary value problem for a nonlinear equation of mixed type
• On the complete group classification of the reaction-diffusion equation with a delay
• Characteristic Matrices for Linear Periodic Delay Differential Equations
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