Zobrazeno 1 - 10
of 1 694
pro vyhledávání: '"resolvent operator"'
Autor:
Zhu Jianbo, Yan Dongxue
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 399-430 (2024)
In this article, we investigate the existence and regularity of solutions for non-autonomous integrodifferential evolution equations involving nonlocal conditions. Using the theory of resolvent operators, some fixed point theorems, and an estimation
Externí odkaz:
https://doaj.org/article/e6db12ddff2c48d586cb88aaf2c8fa13
Publikováno v:
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 32, Iss 1, Pp 65-84 (2024)
In this article, we study the existence of mild solutions of a non-instantaneous integrodi erential equations on unbounded domain via resolvent operators in Banach space. For our proofs, we employ the semigroups theory and Schauder’s fixed point th
Externí odkaz:
https://doaj.org/article/b103629e41c149d6a7c0ee528a0e5d63
Publikováno v:
Annals of the West University of Timisoara: Mathematics and Computer Science, Vol 60, Iss 1, Pp 44-55 (2024)
This paper discusses the global convergence of successive approximations methods for solving integro-differential equation via resolvent operators in Banach spaces. We prove a theorem on the global convergence of successive approximations to the uniq
Externí odkaz:
https://doaj.org/article/d111d66af6c14a3a885e61e7f7062266
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-15 (2024)
Abstract In this paper, we investigate the existence of mild solutions as well as optimal controls for non-autonomous impulsive evolution equations with nonlocal conditions. Using the Schauder’s fixed-point theorem as well as the theory of evolutio
Externí odkaz:
https://doaj.org/article/e8c1de47b08d42bfa2cc2f4e311c6466
Autor:
Essozimna Kpizim, Bertin Dehigbe, Ramkumar Kasinathan, Ravikumar Kasinathan, Mamadou Abdoul Diop
Publikováno v:
Cubo, Vol 25, Iss 3, Pp 467-495 (2023)
In this work, we investigate the existence of a mild solution and the approximate controllability of non-instantaneous impulsive stochastic integrodifferential equations driven by the Rosenblatt process in Hilbert space with the Hurst parameter \(\ma
Externí odkaz:
https://doaj.org/article/3db331d8e7bc41c4a8d58c7696c27bdc
Publikováno v:
Fractal and Fractional, Vol 8, Iss 11, p 659 (2024)
In this paper, we present the existence of a mild solution for a class of a neutral stochastic integro-differential system over a Hilbert space. Such systems are influenced by both multiplicative and fractional noise, alongside non-instantaneous impu
Externí odkaz:
https://doaj.org/article/3b55b19acf25476fa96afd398d8d944b
Publikováno v:
Results in Control and Optimization, Vol 14, Iss , Pp 100376- (2024)
In this work, to show the existence and continuous dependence of integral solution for neutral integro-differential equation with finite delay situation. This result established by using integrated resolvent operator with support of Lipschitz continu
Externí odkaz:
https://doaj.org/article/94367e01d5c44d05b8da66c3af337850
Autor:
El Matloub Jaouad, Ezzinbi Khalil
Publikováno v:
Nonautonomous Dynamical Systems, Vol 10, Iss 1, Pp 91-112 (2023)
We are interested in the existence of mild solutions for a class of partial integrodifferential inclusions in infinite dimensional Banach spaces. First, we show the existence of mild solutions with the help of a scale of Banach spaces, the theory of
Externí odkaz:
https://doaj.org/article/010579fef0a548a9888945a8aca14abb
Autor:
Kottakkaran Sooppy Nisar, Kasilingam Munusamy, Chokkalingam Ravichandran, Sriramulu Sabarinathan
Publikováno v:
AIMS Mathematics, Vol 8, Iss 11, Pp 25611-25632 (2023)
This work deals with the existence and continuous dependence of an integral solution for neutral integro-differential equations with a nonlocal condition. This result is established by using an integrated resolvent operator under conditions of Lipsch
Externí odkaz:
https://doaj.org/article/4aeee836bbd74d4bb66baab11d82008e
Publikováno v:
Axioms, Vol 13, Iss 7, p 482 (2024)
The goal of this work is to introduce the notion of topological degree via the principle of the degree of nondensifiability (DND for short). We establish some new fixed point theorems, concerning, Schaefer’s fixed point theorem and the nonlinear al
Externí odkaz:
https://doaj.org/article/5e7d748190764aa5ba65db1db3b5daad