Zobrazeno 1 - 10
of 1 683
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
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
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:
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:
Cubo, Vol 25, Iss 2, Pp 231-250 (2023)
In this paper, we investigate existence of mild solutions to a non-instantaneous integrodifferential equation via resolvent operators in the sense of Grimmer in Fréchet spaces. Utilizing the technique of measures of noncompactness in conjunction wit
Externí odkaz:
https://doaj.org/article/f199182a1fa145c68f6f41d1c8866025
Autor:
El Matloub Jaouad, Ezzinbi Khalil
Publikováno v:
Nonautonomous Dynamical Systems, Vol 10, Iss 1, Pp 93-100 (2023)
In this work, we investigate the existence of mild solutions in the α\alpha -norm for a class of nonlocal integrodifferential equations. We employ the theory of resolvent operators introduced by R. Grimmer. The Leray-Schauder alternative is the prin
Externí odkaz:
https://doaj.org/article/3e7b5a1e74f6451386d38922de61d6f0