Results 21 to 30 of about 175 (113)
On Darbo-Sadovskii's fixed point theorems type for abstract measures of (weak) noncompactness [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Garcia-Falset, Jesús, Latrach, Khalid
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Asymptotic behaviour of solutions of nonlinear delay difference equations in Banach spaces [PDF]
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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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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Solvability of a general nonlinear integral equation in $L^1$ spaces by means of a measure of weak noncompactness [PDF]
Journal of Integral Equations and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fuli Wang
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On nonlocal problems for semilinear second order differential inclusions without compactness [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2021 Existence of mild solutions for a nonlocal abstract problem driven by a semilinear second order differential inclusion is studied in Banach spaces in the lack of compactness both on the fundamental system generated by the linear part and on the nonlinear
Tiziana Cardinali, Giulia Duricchi
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Applied General TopologyIn this paper, we provide some generalizations of Darbo's fixed point theorem for larger classes of contraction. Our results are investigated under the weak topology of a Banach space using the measure of weak noncompactness. The results presented in the
Mohamed Khazou, Abdelmjid Khchine
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Nonlinear Integrodifferential Equations of Mixed Type in Banach Spaces [PDF]
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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Long-Time Behavior of Solution for a Reactor Model [PDF]
Advances in Mathematical Physics, 2015 In this paper, we would consider the dynamical behaviors of the chemical model represented by Satnoianu et al. (2001). Using the Kuratowski measure of noncompactness method, we prove the existence of global attractor for the weak solution semiflow of ...
Yantao Guo, Jianwei Shen, Qianqian Zheng
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Measures of weak noncompactness and nonlinear integral equations of convolution type
Journal of Mathematical Analysis and Applications, 1990 The authors prove that the equation \(x(t)=f[t,\int^{\infty}_{0}k(t- s)x(\phi (s))ds]\) has a monotone solution \(x\in L^ 1(0,\infty)\) if suitable conditions are imposed on the functions f, k, and \(\phi\). The proof builds on measures of weak noncompactness [\textit{F. S. De Blasi}, Bull. Math. Soc. Sci. Math. R. S. R. n. Ser.
Józef Banas
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On a Nonlinear Integral Equation with Contractive Perturbation [PDF]
Advances in Difference Equations, 2011 We get an existence result for solutions to a nonlinear integral equation with contractive perturbation by means of Krasnoselskii's fixed point theorem and especially the theory of measure of weak noncompactness.
Zhu Huan
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