Perturbation theory of operator equations in the Fréchet and Hilbert spaces

DOI10.1007/s11253-016-1156-yzbMath1498.47111OpenAlexW2331717599MaRDI QIDQ1684568

Oleksander Pokutnyi, Alexander A. Boichuk

Publication date: 11 December 2017

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

Full work available at URL: https://doi.org/10.1007/s11253-016-1156-y

zbMATH Keywords

perturbation theoryHilbert spacesFréchet spacesiterative processbranching solutions

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Perturbations of nonlinear operators (47H14) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Related Items (7)

Bounded solutions of evolutionary equations. I ⋮ Boundary-value problems for the system of operator-differential equations in Banach and Hilbert spaces ⋮ Impulsive boundary-value problem for the Lyapunov equation with values in Hilbert space ⋮ Boundary-value problems for the evolutionary Schrödinger equation. I ⋮ Bounded solutions of evolutionary equations ⋮ Solutions of the Sylvester equation in \(C^*\)-modular operators ⋮ Autonomous nonlinear boundary-value problems for the Lyapunov equation in the Hilbert space

Cites Work

• The imbedding problem for Riemannian manifolds
• A NEW TECHNIQUE FOR THE CONSTRUCTION OF SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS
• The inverse function theorem of Nash and Moser
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