On abstract differential equations with nonlocal conditions involving the temporal derivative of the solution

被引：2
|
作者：
Hernandez, Eduardo [1 ]
dos Santos, Jair Silverio [1 ]
Azevedo, Katia A. G. [1 ]
机构：
[1] Univ Sao Paulo, Fac Filosofia Ciencias & Letras, Dept Computacao & Matemat, BR-14040901 Ribeirao Preto, SP, Brazil
来源：
INDAGATIONES MATHEMATICAE-NEW SERIES | 2012年 / 23卷 / 03期
关键词：
Nonlocal conditions; Abstract Cauchy problem; Analytic semigroup; EVOLUTION-EQUATIONS; INITIAL CONDITIONS; ALPHA-NORM; EXISTENCE; REGULARITY; UNIQUENESS;
D O I：
10.1016/j.indag.2012.02.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we discuss the existence of solutions for a class of abstract differential equations with nonlocal conditions for which the nonlocal term involves the temporal derivative of the solution. Some concrete applications to parabolic differential equations with nonlocal conditions are considered. (C) 2012 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：401 / 422
页数：22
相关论文
共 50 条
  • [1] Abstract fractional integro-differential equations involving nonlocal initial conditions in α-norm
    Rong-Nian Wang
    Jun Liu
    De-Han Chen
    [J]. Advances in Difference Equations, 2011
  • [2] Abstract fractional integro-differential equations involving nonlocal initial conditions in α-norm
    Wang, Rong-Nian
    Liu, Jun
    Chen, De-Han
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2011,
  • [3] Coupled fractional differential equations involving Caputo-Hadamard derivative with nonlocal boundary conditions
    Nain, Ankit
    Vats, Ramesh
    Kumar, Avadhesh
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (05) : 4192 - 4204
  • [4] To the Solution of Loaded Differential Equations with Nonlocal Conditions
    Abdullayev, Vagif M.
    [J]. BULLETIN OF IRKUTSK STATE UNIVERSITY-SERIES MATHEMATICS, 2024, 49 : 45 - 62
  • [5] GLOBAL SOLUTIONS FOR ABSTRACT FUNCTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS
    Hernandez M, Eduardo
    Aki, Sueli M. Tanaka
    [J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009, (50) : 1 - 8
  • [6] Existence of solutions for a class of abstract differential equations with nonlocal conditions
    Hernandez, Eduardo
    dos Santos, Jair Silverio
    Azevedo, Katia A. G.
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (07) : 2624 - 2634
  • [7] To the solution of integro-differential equations with nonlocal conditions
    Aida-Zade, Kamil R.
    Abdullayev, Vagif M.
    [J]. TURKISH JOURNAL OF MATHEMATICS, 2022, 46 (01) : 177 - 188
  • [8] Ulam stability for nonlocal differential equations involving the Hilfer–Katugampola fractional derivative
    Mouffak Benchohra
    Soufyane Bouriah
    Johnny Henderson
    [J]. Afrika Matematika, 2021, 32 : 829 - 851
  • [9] A continuous and fractional derivative dependance of random differential equations with nonlocal conditions
    Slimane, Ibrahim
    Dahmani, Zoubir
    [J]. JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2021, 24 (06) : 1457 - 1470
  • [10] Numerical Solution of Linear Differential Equations with Nonlocal Nonlinear Conditions
    K. R. Aida-zade
    [J]. Computational Mathematics and Mathematical Physics, 2020, 60 : 808 - 816
12345