Results 21 to 30 of about 605 (180)
Compact matrix operators on a new sequence space related to ℓ p $\ell_{p}$ spaces
Journal of Inequalities and Applications, 2016 In this paper, we derive some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the sequence space ℓ p ( r , s , t ; B ( m ) ) $\ell_{p}(r,s,t;B^{(m)})$ which is related to ℓ p ...
Abdullah Alotaibi +2 more
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Existence Results for Fractional Integral Equations in Frechet Spaces
Journal of Mathematical Sciences and Modelling, 2022 The objective of this paper is to present results on the existence of solutions for a class of fractional integral equations in Fr\'{e}chet spaces of Banach space-valued functions on the unbounded interval.
Said Baghdad
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Generalized measures of noncompactness of sets and operators in Banach spaces [PDF]
, 2015 New measures of noncompactness for bounded sets and linear operators, in the setting of abstract measures and generalized limits, are constructed. A quantitative version of a classical criterion for compactness of bounded sets in Banach spaces by R.
da Silva, EB, Fernandez, DL
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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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Note on measures of noncompactness in Banach sequence spaces [PDF]
, 1990 The notion of a measure of noncompactness turns out to be a very important and useful tool in many branches of mathematical analysis. The current state of this theory and its applications are presented in the books [1,4,11] for example.
Martinón Cejas, Antonio, Banas, Józef
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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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Measures of noncompactness and asymptotic stability of solutions of a quadratic Hammerstein integral equation [PDF]
, 2011 In this paper we consider the existence of asymptotically stable solutions of a quadratic Hammerstein integral equation. This equation is investigated in the space of real functions defined, bounded and continuous on the real half-axis.
Ravi P. Agarwal +5 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.
openaire +2 more sources