On the Properties of the Set Solutions of a Class of Paratingent Equation with Delay
Journal of Advances in Mathematics and Computer Science · pp. 1999–2003 · Published 21 May 2014
10.9734/BJMCS/2014/10537Abstract
In this paper we will study the main properties of the set solutions of the paratingent equation (type differential inclusion) with delay of the form: (Ptx)(t) ⊂ F([x]t) for t ≥ 0 with the initial condition: x(t) = ξ(t) for t ≤ 0. We will be interested particularly in the topological properties of the set solutions and the continuous dependence on initial conditions of the set solutions.
References (7)
- 1 Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces [DOI]
- 2 Introduction to the Theory of Differential Inclusions [DOI]
- 3 On the solution set of differential inclusions in Banach space [DOI]
- 4 Existence of solutions on compact and non-compact intervals for semilinear impulsive differential inclusions with delay [DOI]
- 5 On the solution sets to differential inclusions on an unbounded interval [DOI]
- 6 Functional Differential Equations with Causal Operators
- 7 Differential inclusions and optimal control [DOI]
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