Results 11 to 20 of about 67,072 (268)
Existence results for functional differential inclusions
Electronic Journal of Differential Equations, 2001 In this note we investigate the existence of solutions to functional differential inclusions on compact intervals. We use the fixed point theorem introduced by Covitz and Nadler for contraction multi-valued maps.
Mouffak Benchohra, Sotiris K. Ntouyas
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Generalized Solutions of Functional Differential Inclusions [PDF]
Abstract and Applied Analysis, 2008 We consider the initial value problem for a functional differential inclusion with a Volterra multivalued mapping that is not necessarily decomposable in . The concept of the decomposable hull of a set is introduced. Using this concept, we define a generalized solution of such a problem and study its properties.
Anna Machina +2 more
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Existence of solutions for nonconvex functional differential inclusions
Electronic Journal of Differential Equations, 2004 We prove the existence of solutions for the functional differential inclusion $x'in F(T(t)x)$, where $F$ is upper semi-continuous, compact-valued multifunction such that $F(T(t)x)subset partial V(x(t))$ on $[0,T]$, $V$ is a proper convex and lower ...
Vasile Lupulescu
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Impulsive neutral functional differential inclusions with variable times
Electronic Journal of Differential Equations, 2003 In this paper, we study the existence of solutions for first and second order impulsive neutral functional differential inclusions with variable times. Our main tool is a fixed point theorem due to Martelli for condensing multivalued maps.
Mouffak Benchohra, Abdelghani Ouahab
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Discrete Approximations of a Controlled Sweeping Process [PDF]
, 2014 The paper is devoted to the study of a new class of optimal control problems governed by the classical Moreau sweeping process with the new feature that the polyhe- dral moving set is not fixed while controlled by time-dependent functions.
B. S., Mordukhovich +3 more
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Extremal Solutions of Functional Differential Inclusions
Journal of Mathematical Analysis and Applications, 1993 Let \(X\) be a separable Banach space; \({\mathcal K}\subset X\) be a cone and \(v: [-\tau,a]\to X\) be a solution of a problem \(\dot v(t)\in F(t,v_ t)+{\mathcal K}\), \(t\in [0,a]\); \(v_ 0\geq\varphi\), where \(F\) is a Carathéodory type multifunction with convex closed values satisfying the Ambrosetti type regularity condition. The viability result
Hu, S.C. +2 more
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Existence of solutions of functional differential inclusions [PDF]
International Journal of Stochastic Analysis, 1992 We prove the existence of solutions of a functional differential inclusion. By using the variation of parameters formula we convert the functional differential inclusion into an integral inclusion and prove the existence of a fixed point of the set‐valued mapping with the help of the Kakutani‐Bohnenblust‐Karlin fixed point theorem.
Anguraj, A., Balachandran, K.
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Controllability of Impulsive Neutral Functional Differential Inclusions in Banach Spaces
Abstract and Applied Analysis, 2013 We investigate the controllability of impulsive neutral functional differential inclusions in Banach spaces. Our main aim is to find an effective method to solve the controllability problem of impulsive neutral functional differential inclusions with ...
X. J. Wan, Y. P. Zhang, J. T. Sun
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Second Order Impulsive Neutral Functional Differential Inclusions [PDF]
Kyungpook mathematical journal, 2008 Abstract. In this paper, we investigate the existence of solutions of second order im-pulsive neutral functional differential inclusions which the nonlinearity F admits convexand non-convex values. Some results under weaker conditions are presented. Our resultsextend previous ones.
Yicheng Liu, Zhixiang Li
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Impulsive functional differential inclusions of mixed type with finite delay
上海师范大学学报. 自然科学版, 2020 In this paper, using fixed point theorem for multi-valued maps, we obtain the existence result of mild solutions for a class of impulsive functional differential inclusions of mixed type with finite delay.
LI Xiaoyue, WANG Qi
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