Existence of nontrivial solutions of certain linear and nonlinear convolution-type equations

DOI10.1007/BF01056100zbMath0703.45004MaRDI QIDQ5899862

L. G. Arabadzhyan

Publication date: 1989

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Wiener-Hopf factorizationbounded solutionWiener-Hopf equationlinear and nonlinear equations of convolution typemethod of nonlinear equations

Mathematics Subject Classification ID

Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Singular nonlinear integral equations (45G05)

Related Items (3)

One-Parameter Families of Positive Solutions of Some Classes of Nonlinear Convolution Type Integral Equations ⋮ Nontrivial solvability of the homogeneous Wiener-Hopf multiple integral equation in the conservative case and the Peierls equation ⋮ О разрешимости одного класса нелинейных двумерных интегральных уравнений типа Гаммерштейна-Немыцкого на плоскости;On the solvability of a class of nonlinear two-dimensional integral equations Hammerstein-Nemytskii type on the plane

Cites Work

• Description of contraction operators which are similar to unitary operators
• SYSTEMS OF WIENER-HOPF INTEGRAL EQUATIONS, AND NONLINEAR FACTORIZATION EQUATIONS
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