Two-point nonlocal problem for a weak nonlinear differential operator equation

DOI10.15330/ms.50.1.44-59zbMath1414.35048OpenAlexW2909337569WikidataQ115235545 ScholiaQ115235545MaRDI QIDQ2414407

Iryna I. Volyanska, Nataliya I. Strap, V. S. Il'kiv

Publication date: 13 May 2019

Published in: Matematychni Studiï (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15330/ms.50.1.44-59

zbMATH Keywords

small denominatorsNash-Moser iterative schememetric estimation

Mathematics Subject Classification ID

Boundary value problems for linear higher-order PDEs (35G15) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items (2)

Solvability conditions for the nonlocal boundary-value problem for a differential-operator equation with weak nonlinearity in the refined Sobolev scale of spaces of functions of many real variables ⋮ Conditions of solvability of the nonlocal boundary-value problem for a differential-operator equation with weak nonlinearity

Cites Work

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• Solvability of the nonlocal boundary-value problem for a system of differential-operator equations in the Sobolev scale of spaces and in a refined scale
• Solvability of a nonlocal boundary-value problem for the operator-differential equation with weak nonlinearity in a refined scale of Sobolev spaces
• Homogeneous two-point problem for PDE of the second order in time variable and infinite order in spatial variables
• Nonlocal boundary value problem for a differential-operator equation with nonlinear right part in a complex domain (in Ukrainian)
• Sobolev periodic solutions of nonlinear wave equations in higher spatial dimensions
• Cantor families of periodic solutions of wave equations with \(C^{k}\) nonlinearities
• Cantor families of periodic solutions for completely resonant nonlinear wave equations
• Nonlocal Boundary-Value Problem for a Differential-Operator Equation with Weak Nonlinearity in the Spaces of Dirichlet–Taylor Series with Fixed Spectrum

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