Existence results for impulsive systems with nonlocal conditions in Banach spaces.
Kavitha, V., Arjunan, M.Mallika, Ravichandran, C. (2011)
The Journal of Nonlinear Sciences and its Applications
Giovanni Colombo, Barnabas M. Garay (1994)
Rendiconti del Seminario Matematico della Università di Padova
M. Benchohra, S. K. Ntouyas (2003)
Extracta Mathematicae
This note is concerned with the existence of mild solutions defined on a compact real interval for first and second order semilinear functional differential inclusions.
Benchohra, M., Ntouyas, S.K. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Belarbi, Abdelkader, Benchohra, Mouffak (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Sotiris K. Ntouyas (2013)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
This paper studies a new class of nonlocal boundary value problems of nonlinear differential equations and inclusions of fractional order with fractional integral boundary conditions. Some new existence results are obtained by using standard fixed point theorems and Leray-Schauder degree theory. Some illustrative examples are also discussed.
Candito, Pasquale, Bisci, Giovanni Molica (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Sotiris K. Ntouyas, Thanin Sitthiwirattham, Jessada Tariboon (2014)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
In this paper, we study a new class of three-point boundary value problems of nonlinear second-order q-difference inclusions. Our problems contain different numbers of q in derivatives and integrals. By using fixed point theorems, some new existence results are obtained in the cases when the right-hand side has convex as well as noncovex values.
Chang, Yong-Kui, Qi, Li-Mei (2006)
Journal of Applied Mathematics and Stochastic Analysis
Lee, Haeng Joo, Park, Jeongyo, Park, Jong Yeoul (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Cui, Yujun (2011)
Abstract and Applied Analysis
Bouharket Bendouma, Alberto Cabada, Ahmed Hammoudi (2019)
Archivum Mathematicum
In this article, we study the existence of solutions to systems of conformable fractional differential equations with periodic boundary value or initial value conditions. where the right member of the system is -carathéodory function. We employ the method of solution-tube and Schauder’s fixed-point theorem.
Octavia Bolojan, Gennaro Infante, Radu Precup (2015)
Mathematica Bohemica
The purpose of the present paper is to study the existence of solutions to initial value problems for nonlinear first order differential systems subject to nonlinear nonlocal initial conditions of functional type. The approach uses vector-valued metrics and matrices convergent to zero. Two existence results are given by means of Schauder and Leray-Schauder fixed point principles and the existence and uniqueness of the solution is obtained via a fixed point theorem due to Perov. Two examples are...
Smaïl Djebali, Abdelghani Ouahab (2010)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
In this paper, we study ϕ-Laplacian problems for differential inclusions with Dirichlet boundary conditions. We prove the existence of solutions under both convexity and nonconvexity conditions on the multi-valued right-hand side. The nonlinearity satisfies either a Nagumo-type growth condition or an integrably boundedness one. The proofs rely on the Bonhnenblust-Karlin fixed point theorem and the Bressan-Colombo selection theorem respectively. Two applications to a problem from control theory are...
Bounkhel, Messaoud (2002)
Portugaliae Mathematica. Nova Série
Wang, Sheng-Ping, Tsai, Long-Yi (2011)
Boundary Value Problems [electronic only]
M. Kisielewicz, T. Janiak (1977)
Annales Polonici Mathematici
Benchohra, M., Ntouyas, S.K. (2001)
Acta Mathematica Universitatis Comenianae. New Series
Papageorgiou, Nikolaos S. (1986)
International Journal of Mathematics and Mathematical Sciences
Jones, Robert A. (1978)
International Journal of Mathematics and Mathematical Sciences