Application of measure of noncompactness to infinite systems of differential equations in \(\ell_p\) spaces

DOI10.1007/s12215-019-00411-6zbMath1447.34022OpenAlexW2942288541MaRDI QIDQ777180

Tanweer Jalal, Ishfaq Ahmad Malik

Publication date: 3 July 2020

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-019-00411-6

zbMATH Keywords

measures of noncompactnessDarbo's fixed point theoreminfinite system of integral equationsequicontinuous setsinfinite system of second-order differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Ordinary differential equations of infinite order (34A35)

Related Items (3)

Measure of noncompactness of a new space of tempered sequences and its application on fractional differential equations ⋮ Unnamed Item ⋮ Existence of solution for system of differential equations in \(c_0\) and \(\ell_1\) spaces

Cites Work

• Dissipative boundary conditions for \(2\times 2\) hyperbolic systems of conservation laws for entropy solutions in BV
• Applications of measures of noncompactness to the infinite system of differential equations in \(\ell_p\) spaces
• Fixed point theorems for Meir-Keeler condensing operators via measure of noncompactness
• A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Application of measure of noncompactness to \(\ell_{1}\)-solvability of infinite systems of second order differential equations
• On a theorem of P. Nowosad
• 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
• Solvability of a class of boundary value problems in the space of convergent sequences
• Applications of measures of weak noncompactness and some classes of operators in the theory of functional equations in the lebesgue space
• Application of Measure of Noncompactness to Infinite Systems of Differential Equations
• Existence of positive solutions to a coupled system of fractional differential equations
• Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations
• Applications of Schauder's fixed-point theorem with respect to iterated functional equations
• Solvability of infinite systems of differential equations in Banach sequence spaces
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