Exponentially convergent method for an abstract nonlocal problem with integral nonlinearity

DOI10.1007/s11253-017-1332-8zbMath1490.65097OpenAlexW2595831572MaRDI QIDQ1729399

Volodymyr L. Makarov, V. B. Vasylyk

Publication date: 27 February 2019

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

Full work available at URL: https://doi.org/10.1007/s11253-017-1332-8

zbMATH Keywords

Banach spacenonlocal problemfirst-order differential equationunbounded operator coefficientexponentially convergent methodnonlinear integral nonlocal condition

Mathematics Subject Classification ID

Linear differential equations in abstract spaces (34G10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Numerical solutions to abstract evolution equations (65J08)

Cites Work

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• Exponentially convergent method for the first-order differential equation in a Banach space with integral nonlocal condition
• Geometric theory of semilinear parabolic equations
• Some recent numerical methods for solving nonlinear Hammerstein integral equations
• About a numerical method of successive interpolations for functional Hammerstein integral equations
• On linear differential equations in banach spaces
• Exponentially Convergent Approximation to the Elliptic Solution Operator
• A Spectral Order Method for Inverting Sectorial Laplace Transforms
• Exponentially Convergent Method for them-Point Nonlocal Problem for a First Order Differential Equation in Banach Space
• An exponentially convergent algorithm for nonlinear differential equations in Banach spaces
• Exponentially Convergent Duhamel-Like Algorithms for Differential Equations with an Operator Coefficient Possessing a Variable Domain in a Banach Space
• Galerkin Methods in the Constructive Solvability of Nonlinear Hammerstein Equations with Applications to Differential Equations
• Data-sparse approximation to a class of operator-valued functions
• A New Collocation-Type Method for Hammerstein Integral Equations
• Data-sparse approximation to the operator-valued functions of elliptic operator
• Time discretization of an evolution equation via Laplace transforms
• Improved contour integral methods for parabolic PDEs
• Exponentially Convergent Algorithms for Abstract Differential Equations
• Exponentially Convergent Algorithms for the Operator Exponential with Applications to Inhomogeneous Problems in Banach Spaces
• On Nonlinear Equations of Hammerstein Type in Banach Spaces