Solvability of discrete approximations for linear and nonlinear differential-operator equations in Banach spaces by a projection-algebraic approach.

zbMath1199.34293MaRDI QIDQ964701

M. I. Vovk, Anatoliy K. Prykarpatsky, Miroslaw Luśtyk

Publication date: 22 April 2010

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

zbMATH Keywords

Banach spacediscrete approximationLeray-Schauder fixed-point theoremdifferential operator equationprojection-algebraic approach

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear differential equations in abstract spaces (34G20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Applications of operator theory to differential and integral equations (47N20) Numerical solutions to equations with linear operators (65J10) Numerical solutions to equations with nonlinear operators (65J15) Linear differential equations in abstract spaces (34G10)

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