Results 21 to 30 of about 1,488 (168)

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
doaj   +1 more source

Existence of solutions for some classes of integro-differential equations via measure of noncompactness

Electronic Journal of Qualitative Theory of Differential Equations, 2015
In this present paper, we introduce a new measure of noncompactness on the space consisting of all real functions which are $n$ times bounded and continuously differentiable on $\mathbb{R}_+$.
Reza Allahyari, Reza Arab, Ali Shole Haghighi   +2 more
doaj   +1 more source

Real Interpolation and Measure of Weak Noncompactness

Mathematische Nachrichten, 1995
AbstractBehavior of weak measures of noncompactness under real interpolation is investigated. It is shown that “convexity type” theorems hold true for weak measures of noncompactness.
Aksoy, A. G., Maligranda, Lech
openaire   +3 more sources

Existence of bounded solutions for second order neutral difference equations via measure of noncompactness

Electronic Journal of Qualitative Theory of Differential Equations, 2017
In this paper we analyze the existence of bounded solutions for a nonlinear second-order neutral difference equation, which is more general than other equations of this type studied recently.
Gonzalo García
doaj   +1 more source

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
doaj   +1 more source

Existence of solutions of infinite systems of nonlinear Volterra integral equations on a Fréchet space

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, Mahnaz Khanehgir, Reza Allahyari   +2 more
doaj  

A compactness result in approach theory with an application to the continuity approach structure

, 2015
We establish a compactness result in approach theory which we apply to obtain a generalization of Prokhorov's Theorem for the continuity approach structure.Comment: 10 ...
Baekeland, Baekeland, Banaś, Berckmoes, Berckmoes, Bergström, Kallenberg, Lowen, Lowen, Lowen, Lowen, Lowen, Parthasarathy   +12 more
core   +1 more source

Quantization of the Jackiw-Teitelboim model

, 2009
We study the phase space structure of the Jackiw-Teitelboim model in its connection variables formulation where the gauge group of the field theory is given by local SL(2,R) (or SU(2) for the Euclidean model), i.e.
Constantinidis, Clisthenis P., Perez, Alejandro, Piguet, Olivier   +2 more
core   +3 more sources

Maximally dissipative and self‐adjoint extensions of K$K$‐invariant operators

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We introduce the notion of K$K$‐invariant operators, S$S$, in a Hilbert space, with respect to a bounded and boundedly invertible operator K$K$ defined via K∗SK=S$K^*SK=S$. Conditions such that self‐adjoint and maximally dissipative extensions of K$K$‐invariant symmetric operators are also K$K$‐invariant are investigated.
Christoph Fischbacher, Bart Rosenzweig, Jonathan Stanfill   +2 more
wiley   +1 more source

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, Ying-Xiang Chang, Hai-Zhong Liu   +2 more
doaj   +1 more source