Results 31 to 40 of about 603 (180)
Nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in Banach spaces [PDF]
Mathematica Bohemica, 2017 We consider a nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in a Banach space. The existence of at least one solution is proved by using the set-valued analog of Mönch fixed point theorem ...
Djamila Seba
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Measures of noncompactness over hilbert C-modules [PDF]
, 2019 U prvom poglavlju izlaž se teorija o uniformnim prostorima i merama nekompaktnosti na metričkim i uniformnim prostorima...In the first section we present the theory on uniform spaces and measures of noncompactness in metric and uniform spaces..
Lazović, Zlatko
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پژوهشهای ریاضی, 2021 In this paper, we introduce a Fréchet space and define a measure of noncompactness on it. For credit and the application to our theorems, in the application section of this paper, we present a theorem which shows the existence of solution of infinite ...
Hogat Allah Amiri kayvanloo +2 more
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Weak solutions for nonlinear fractional differential equations on reflexive Banach spaces
Electronic Journal of Qualitative Theory of Differential Equations, 2010 The aim of this paper is to investigate a class of boundary value problem for fractional differential equations involving nonlinear integral conditions.
Mouffak Benchohra +2 more
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A POINT OF VIEW ON MEASURES OF NONCOMPACTNESS
Demonstratio Mathematica, 1993 The author presents a general scheme of construction of measures of noncompactness and an example of application in the theory of nonlinear differential equations.
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On modulus of noncompact convexity for a strictly minimalizable measure of noncompactness
Gulf Journal of Mathematics, 2014 In this paper we consider modulus of noncompact convexity ΔX,φ associated with the strictly minimalizable measure of noncompactness φ. We also give some its properties and show its continuity on the interval [0, φ(BX)).
Rekic-Vukovic, Amra +2 more
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Remarks on Various Measures of Noncompactness
Journal of Mathematical Analysis and Applications, 1993 Let \(\Omega\) be a bounded set in a metric space \(M\). Denote \(\alpha(\Omega)=\inf\{d>0:\Omega\text{ can be covered by a finite number of sets of diameter at most }d\},\) \(\beta(\Omega)=\inf\{d>0:\Omega\text{ has a finite } d\text{-net in }M\},\) \(\delta(\Omega)=\sup\{\alpha(\Omega'):\Omega'\subseteq\Omega\text{ and } \Omega'\text{ is an } \alpha ...
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A Coarse Geometric Approach to Graph Layout Problems
Journal of Graph Theory, EarlyView.ABSTRACT We define a range of new coarse geometric invariants based on various graph–theoretic measures of complexity for finite graphs, including treewidth, pathwidth, cutwidth and bandwidth. We prove that, for bounded degree graphs, these invariants can be used to define functions which satisfy a strong monotonicity property, namely, they are ...
Wanying Huang +3 more
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Weak Solutions for Nonlinear Fractional Differential Equations in Banach Spaces
Discrete Dynamics in Nature and Society, 2012 We discuss the existence of weak solutions for a nonlinear boundary value problem of fractional differential equations in Banach space. Our analysis relies on the Mönch's fixed point theorem combined with the technique of measures of weak noncompactness.
Wen-Xue Zhou +2 more
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On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
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