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On the Theory of Functional-Differential Inclusion of Neutral Type
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A. I. Bulgakov
and V. V. Vasilyev
Published/Copyright:
February 26, 2010
Abstract
A Cauchy problem for a functional-differential inclusion of neutral type with a nonconvex right-hand side is investigated. Questions of the solvability of such a problem are considered, estimates analogous to the Filippov's estimates are obtained and the density principle is proved.
Key words and phrases:: Multi-valued mappings; functional-differential inclusion of neutral type; Cauchy problem; fixed point; differential inclusions
Received: 2001-08-03
Published Online: 2010-02-26
Published in Print: 2002-March
Β© Heldermann Verlag
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Keywords for this article
Multi-valued mappings;
functional-differential inclusion of neutral type;
Cauchy problem;
fixed point;
differential inclusions
Articles in the same Issue
- Application of Singular Integral Equations in the Boundary Value Problems of Electroelasticity
- Existence and Properties of β-Sets
- On the Theory of Functional-Differential Inclusion of Neutral Type
- CesΓ ro Means of Trigonometric Fourier Series
- Estimates of a Stabilization Rate as π‘ β β Solutions of a Nonlinear Integro-Differential Equation
- On Kan Fibrations for Maltsev Algebras
- On the Uniqueness Property for Products of Symmetric Invariant Probability Measures
- Mackey Continuity of Characteristic Functionals
- Linear Dynamical Systems: An Axiomatic Approach
- The Bochner Mean Square Deviation and Law of Large Numbers for Squares of Random Elements in Banach Lattices
- A Strong Solution of an Evolution Problem with Integral Conditions
- On Some Properties of π-Maximal Sets and π1βπ-Reducibility
- On the Dimension of Some Spaces of Generalized Ternary Theta-Series
- Solution of a Linear Integral Equation of Third Kind
- A Semimartingale Bellman Equation and the Variance-Optimal Martingale Measure. Correction