Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
In this paper, we study a class of integrodifferential evolution equations with nonlocal initial conditions in Banach spaces. Existence results of mild solutions are proved for a class of integrodifferential evolution equations with nonlocal initial conditions in Banach spaces. The main results are obtained by using the Schaefer fixed point theorem and semigroup theory. Finally, an example is given for demonstration.
Czasopismo
Rocznik
Tom
Strony
443--455
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
autor
autor
- Guizhou University College of Technology Guiyang, Guizhou 550004, P.R. China, yylong1980@163.com
Bibliografia
- [1] L. Byszewski, Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem, J. Math. Anal. Appl. 162 (1991), 494–505.
- [2] L. Byszewski, Existence, uniqueness and asymptotic stability of solutions of abstract nonlocal Cauchy problems, Dynam. Systems Appl. 5 (1996), 595–605.
- [3] L. Byszewski, H. Akca, Existence of solutions of a semilinear functional differential evolution nonlocal problem, Nonlinear Anal. 34 (1998), 65–72.
- [4] L. Byszewski, H. Akca, On a mild solution of a semilinear functional-differential evolution nonlocal problem, J. Appl. Math. Stochastic Anal. 10 (1997), 265–271.
- [5] K. Balachandran, M. Chandrasekaran, The nonlocal Cauchy problem for semilinear integrodifferential equation with devating argument, Proceedings of the Edinburgh Mathematical Society 44 (2001), 63–70.
- [6] K. Balachandran, R.R. Kumar, Existence of solutions of integrodifferential evoluition equations with time varying delays, Applied Mathematics E-Notes 7 (2007), 1–8.
- [7] Y. Lin, J.H. Liu, Semilinear integrodifferential equations with nonlocal Cauchy problem, Nonlinear Anal. 26 (1996), 1023–1033.
- [8] J.H. Liu, K. Ezzinbi, Non-autonomous integrodifferential equations with nonlocal conditions, Journal of Integral Equations and Applications 15 (2003), 79–93.
- [9] J. Liang, J.H. Liu, T.J. Xiao, Nonlocal problems for integrodifferential equations, Dynamics of Continuous, Discrete and Impulsive Systems 15 (2008), 815–824.
- [10] S.K. Ntouyas, P. Tsamatos, Global existence for semilinear evolution equations with nonlocal conditions, J. Math. Anal. Appl. 210 (1997), 679–687.
- [11] H. Schaefer, Über die methode der priori Schranhen, Math. Ann 129 (1955), 415–416.
- [12] JinRong Wang, W. Wei, A Class of Nonlocal Impulsive Problems for Integrodifferential Equations in Banach Spaces, Results. Math. 58 (2010), 379–397.
- [13] JinRongWang, W.Wei, YanLong Yang, Fractional nonlocal integrodifferential equations of mixed type with time-varying generating operators and optimal control, Opuscula Math. 30 (2010), 217–234.
- [14] JinRong Wang, YanLong Yang, W. Wei, Nonlocal impulsive problems for fractional differential equations with time-varying generating operators in Banach spaces, Opuscula Math. 30 (2010), 361–381.
- [15] JinRong Wang, W. Wei, Y. Yang, Fractional nonlocal integrodifferential equations and its optimal control in Banach spaces, J. KSIAM 14 (2010), 79–91.
- [16] X. Xue, Existence of solutions for semilinear nonlocal Cauchy problems in Banach spaces, Elec. J.D.E. 2005 (2005) 64, 1–7.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGHT-0005-0071