Solvability of infinite systems of second-order differential equations with boundary conditions in ℓP

DOI10.2989/16073606.2019.1617800zbMath1484.34062OpenAlexW2955972360MaRDI QIDQ5149749

Reza Saadati, E. Pourhadi, Mohammad Mursaleen

Publication date: 8 February 2021

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2019.1617800

zbMATH Keywords

Green's functionmeasure of noncompactnessinfinite system of second-order differential equationsMeir-Keeler condensing operatorDarbo-type fixed point theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Green's functions for ordinary differential equations (34B27) Applications of operator theory to differential and integral equations (47N20) Ordinary lattice differential equations (34A33)

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A survey on measures of noncompactness with some applications in infinite systems of differential equations, On a class of infinite system of third-order differential equations in lp via measure of noncompactness, On the attractivity of the solutions of a problem involving Hilfer fractional derivative via the measure of noncompactness, Solvability of system of Volterra integral equations via measure of noncompactness

Cites Work

• Dissipative boundary conditions for \(2\times 2\) hyperbolic systems of conservation laws for entropy solutions in BV
• Fixed point theorems for Meir-Keeler condensing operators via measure of noncompactness
• Pathology of infinite systems of linear first order differential equations with constant coefficients
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Application of measures of noncompactness to the infinite system of second-order differential equations in \(\ell_{p}\) spaces
• Application of measure of noncompactness to \(\ell_{1}\)-solvability of infinite systems of second order differential equations
• A theorem on contraction mappings
• Methods of nonlinear analysis. Vol. II
• Punti uniti in trasformazioni a codominio non compatto
• Solvability of infinite systems of second order differential equations in 𝑐₀ and ℓ₁ by Meir-Keeler condensing operators
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