Results 11 to 20 of about 195,474,842 (108)
Weak Solutions for Partial Random Hadamard Fractional Integral Equations with Multiple Delays
Discrete Dynamics in Nature and Society, 2017 We present some results concerning the existence of weak solutions for some functional integral equations of Hadamard fractional order with random effects and multiple delays by applying Mönch’s and Engl’s fixed point theorems associated with the ...
Saïd Abbas +3 more
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Existence of solutions for differential inclusions on closed moving constraints in Banach spaces
Electronic Journal of Differential Equations, 2009 In this paper, we prove the existence of solutions to a multivalued differential equation with moving constraints. We use a weak compactness type condition expressed in terms of a strong measure of noncompactness.
Adel Mahmoud Gomaa
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Existence theory for nonlinear volterra integral and differential equations
Journal of Inequalities and Applications, 2001 In this paper we prove the existence theorems for the integrodifferential equation where in first part are functions with values in a Banach space and the integral is taken in the sense of Bochner. In second part are weakly–weakly sequentially
Sikorska Aneta
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On the Volterra integral equation and axiomatic measures of weak noncompactness [PDF]
, 2001 summary:We prove that a set of weak solutions of the nonlinear Volterra integral equation has the Kneser property.
Bugajewski, Dariusz
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Journal of Inequalities and Applications, 2023 This research deals with Krasnoselskii’s fixed point theorem where the entries operators do not need to be G-weakly compact and contraction. These results were obtained by using the so-called generalized measure of weak noncompactness and some user ...
Noura Laksaci +4 more
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Asymptotic behaviour of solutions of nonlinear delay difference equations in Banach spaces
International Journal of Mathematics and Mathematical Sciences, 2005 We consider the second-order nonlinear difference equations of the form Δ(rn−1Δxn−1)+pnf(xn−k)=hn. We show that there exists a solution (xn), which possesses the asymptotic behaviour ‖xn−a∑j=0n−1(1/rj)+b‖=o(1), a,b∈ℝ. In this paper, we extend the results
Anna Kisiolek, Ireneusz Kubiaczyk
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Hausdorff Measure of Noncompactness of Matrix Mappings on Cesaro Spaces
, 2021 In this study we establish some identities or estimates for operator norms and the Hausdorff measure of noncompactness of certain operators on the spaces |C-alpha|(kappa) , which have more recently been introduced in [22].
Sarigol, M. Ali +3 more
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Boundary Value Problems, 2018 The aim of this paper is to investigate the existence of weak solutions for a boundary value problem of a second order differential equation. As the main tool, we apply a Krasnosel’skii type fixed point theorem in conjunction with the technique of ...
Shiyou Weng, Fuli Wang
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Nonlinear Integrodifferential Equations of Mixed Type in Banach Spaces
International Journal of Mathematics and Mathematical Sciences, 2007 We prove two existence theorems for the integrodifferential equation of mixed type: x'(t)=f(t,x(t),∫0tk1(t,s)g(s,x(s))ds,∫0ak2(t,s)h(s,x(s))ds), x(0)=x0, where in the first part of this paper f, g, h, x are functions with values in a Banach space E and ...
Aneta Sikorska-Nowak, Grzegorz Nowak
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On measure of noncompactness and application to global attractors of operator semigroups
, 2021 Based on the recent development of the theory of measures of noncompactness, we rst show a representation theorem of measures of noncompactness dened on Banach spaces.
Zheng, Zheming +4 more
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