Nonlinear operator equations with a functional perturbation of the argument of neutral type

DOI10.1134/S0012266109120155zbMath1189.47059OpenAlexW2004733039MaRDI QIDQ2269358

Andrej Viktorovich Trufanov, Nikolay Aleksandrovich Sidorov

Publication date: 16 March 2010

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266109120155

zbMATH Keywords

nonlinear operatorfunctional perturbation

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Perturbations of nonlinear operators (47H14)

Related Items (4)

Solvability of systems of Volterra integral equations of the first kind with piecewise continuous kernels ⋮ On parametric families of solutions of Volterra integral equations of the first kind with piecewise smooth kernel ⋮ The role of a priori estimates in the method of non-local continuation of solution by parameter ⋮ On the solvability of a class of Volterra operator equations of the first kind with piecewise continuous kernels

Cites Work

• Nonclassical linear Volterra equations of the first kind
• On the existence and uniqueness of analytic solutions of the functional equation φ(z) = h(z, φ[f(z))]
• Local analytic solutions of the functional equation $Φ(z) = H(z; Φ[f_1(z),...,Φ[f_m(z)])$]
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