Results 41 to 50 of about 165,965,242 (115)
Hausdorff measure of noncompactness of certain matrix operators on absolute Nörlund spaces
, 2021 Summary: The absolute Nörlund spaces \(|N_p^u|_k\), \( k\geq 1\), have more recently been introduced and studied by \textit{G.~C. Hazar} and \textit{M.~A. Sarigöl} [Acta Math. Sin., Engl. Ser. 34, No.~5, 812--826 (2018; Zbl 1404.40005)]. In the present paper, we characterize the classes of infinite matrix and compact operators transforming from \(|N_p ...
Gulec, Canan Hazar, Sarigol, Mehmet Ali
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Attractors of directed graph IFSs that are not standard IFS attractors and their Hausdorff measure [PDF]
, 2012 "GCB was supported by an EPSRC Doctoral Training Grant whilst undertaking this work"For directed graph iterated function systems (IFSs) defined on R, we prove that a class of 2-vertex directed graph IFSs have attractors that cannot be the attractors of ...
Boore, Graeme, Falconer, Kenneth John
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Solutions of two-term time fractional order differential equations with nonlocal initial conditions
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We study the existence of mild solutions for the two-term fractional order abstract differential equation $${D}^{\alpha+1}_t u(t) + \mu {D}_t^{\beta} u(t) - Au(t) = D^{\alpha-1}_t f(t,u(t)), \quad t\in [0,1], \quad 0 < \alpha \leq \beta \leq 1, \mu \geq ...
Carlos Lizama
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An Arzelà-Ascoli theorem for the Hausdorff measure of noncompactness
, 2013 6 ...
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Some inequalities and superposition operator in the space of regulated functions
Advances in Nonlinear Analysis, 2019 Some inequalities connected to measures of noncompactness in the space of regulated function R(J, E) were proved in the paper. The inequalities are analogous of well known estimations for Hausdorff measure and the space of continuous functions.
Olszowy Leszek, Zając Tomasz
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Journal of Function Spaces, 2018 In this article, we prove the existence of solutions for the generalized Bagley-Torvik type fractional order differential inclusions with nonlocal conditions. It allows applying the noncompactness measure of Hausdorff, fractional calculus theory, and the
Lizhen Chen, Gang Li
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Neutral functional differential equations of second-order with infinite delays
Electronic Journal of Differential Equations, 2010 This work shows the existence of mild solutions to neutral functional differential equations of second-order with infinite delay. The Hausdorff measure of noncompactness and fixed point theorem are used, without assuming compactness on the associated
Runping Ye, Guowei Zhang
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Compact operators on sequence spaces associated with the Copson matrix of order α
Journal of Inequalities and Applications, 2021 In this work, we study characterizations of some matrix classes ( C ( α ) ( ℓ p ) , ℓ ∞ ) $(\mathcal{C}^{(\alpha )}(\ell ^{p}),\ell ^{\infty })$ , ( C ( α ) ( ℓ p ) , c ) $(\mathcal{C}^{(\alpha )}(\ell ^{p}),c)$ , and ( C ( α ) ( ℓ p ) , c 0 ) $(\mathcal{
M. Mursaleen, Osama H. H. Edely
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Controllability of nonlinear differential evolution systems in a separable Banach space
Electronic Journal of Differential Equations, 2012 In this article, we study the controllability of semilinear evolution differential systems with nonlocal initial conditions in a separable Banach space. The results are obtained by using Hausdorff measure of noncompactness and a new calculation method.
Bheeman Radhakrishnan +1 more
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Characterizations of compact operators on ℓp−type fractional sets of sequences
Demonstratio Mathematica, 2019 Among the sets of sequences studied, difference sets of sequences are probably the most common type of sets. This paper considers some ℓp−type fractional difference sets via the gamma function.
Özger Faruk
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