On the existence of periodic and bounded solutions for functional differential equations of pointwise type with a strongly nonlinear right-hand side

DOI10.1134/S1995080220110062zbMath1464.34090OpenAlexW3115138581WikidataQ115247365 ScholiaQ115247365MaRDI QIDQ828159

N. E. Zubov

Publication date: 8 January 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080220110062

zbMATH Keywords

Korteweg-de Vries equationsoliton solutionsfunctional-differential equationspolynomial potentialperiodic solitons

Mathematics Subject Classification ID

Growth, boundedness, comparison of solutions to functional-differential equations (34K12) Periodic solutions to functional-differential equations (34K13) Symmetries, invariants of functional-differential equations (34K04)

Related Items (2)

Existence of bounded soliton solutions in the problem of longitudinal oscillations of an elastic infinite rod in a field with a nonlinear potential of general form ⋮ Existence of bounded soliton solutions in the problem of longitudinal vibrations of an infinite elastic rod in a field with a strongly nonlinear potential

Cites Work

• Theory of nonlinear lattices.
• Infinite-dimensional non-linear ordinary differential equations and the KAM theory
• A new approach to the question of existence of periodic solutions for functional differential equations of point type
• Linear forms of a given Diophantine type and lattice exponents
• Unnamed Item
• Unnamed Item

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