Results 21 to 30 of about 119,366,956 (291)

On measure of noncompactness in variable exponent Lebesgue spaces and applications to integral equations

open access: yesJournal of Inequalities and Applications, 2023
A novel measure of noncompactness is defined in variable exponent Lebesgue spaces L p ( ⋅ ) $L^{p(\cdot )}$ on an unbounded domain R + $\mathbb{R}^{+}$ and its properties are examined.
Mohamed M. A. Metwali
doaj   +1 more source

Solving nonlinear and dynamic programming equations on extended b-metric spaces with the fixed-point technique

open access: yesFixed Point Theory and Algorithms for Sciences and Engineering, 2022
In this article, we present an approach to solve a wide range of nonlinear equations formulated in extended b-metric spaces based on a new fixed-point theorem on these spaces.
Abdelkader Belhenniche   +3 more
doaj   +1 more source

Best proximity point results and application to a system of integro-differential equations

open access: yesAdvances in Difference Equations, 2021
In this work, we solve the system of integro-differential equations (in terms of Caputo–Fabrizio calculus) using the concepts of the best proximity pair (point) and measure of noncompactness.
Anupam Das   +3 more
doaj   +1 more source

Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps [PDF]

open access: yes, 2013
Coarse spaces are instrumental in obtaining scalability for domain decomposition methods for partial differential equations (PDEs). However, it is known that most popular choices of coarse spaces perform rather weakly in the presence of heterogeneities ...
Hauret, P.   +13 more
core   +4 more sources

Inequalities for integral operators in Hölder–Morrey spaces on differential forms

open access: yesJournal of Inequalities and Applications, 2023
The Hölder–Morrey spaces Λ κ p , τ ( Ω , ∧ l ) $\Lambda _{\kappa}^{p,\tau}(\Omega ,\wedge ^{l})$ are proposed in this paper. The imbedding inequalities for homotopy operator are derived in Hölder–Morrey spaces on differential forms. The Hölder continuity
Xuexin Li, Jianwei Wang, Ning Pan
doaj   +1 more source

Differential equations on abstract Wiener space [PDF]

open access: yesPacific Journal of Mathematics, 1972
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

ON DISCONTINUOUS FUNCTIONAL VOLTERRA INTEGRAL EQUATIONS AND IMPULSIVE DIFFERENTIAL EQUATIONS IN ABSTRACT SPACES [PDF]

open access: yesGlasgow Mathematical Journal, 2004
In this paper we apply fixed point results in ordered spaces to derive existence and comparison results for discontinuous functional integral equations of Volterra type in ordered Banach spaces. The results obtained are then applied to first order impulsive differential equations.
HEIKKILÄ, S., O'REGAN, D.
openaire   +2 more sources

Shifted ultraspherical pseudo-Galerkin method for approximating the solutions of some types of ordinary fractional problems

open access: yesAdvances in Difference Equations, 2021
In this work, a technique for finding approximate solutions for ordinary fraction differential equations (OFDEs) of any order has been proposed. The method is a hybrid between Galerkin and collocation methods.
Mohamed Abdelhakem   +3 more
doaj   +1 more source

Integro-differential equations with bounded operators in Banach spaces [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
The paper investigates integro-differential equations in Banach spaces with operators, which are a composition of convolution and differentiation operators.
V.E. Fedorov, A.D. Godova, B.T. Kien
doaj   +3 more sources

Existence of solutions for an infinite system of Hilfer fractional boundary value problems in tempered sequence spaces

open access: yesAlexandria Engineering Journal, 2023
This article aims to study the existence of the solutions to the infinite system of Hilfer fractional differential equations in tempered sequence spaces.
Inzamamul Haque   +2 more
doaj   +1 more source

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