Results 251 to 260 of about 672,782 (279)

The Solution Set to BVP for Some Functional Differential Inclusions

Set-Valued Analysis, 1998
The authors show that the set of solutions to the multivalued boundary value problem \(x'(t) \in A(t)x(\alpha (t))+ \lambda F(t, x(\beta (t))),\) \(Lx=\theta\), forms a nonempty infinite-dimensional AR-space for sufficiently small \(\lambda\).
Augustynowicz, A., Dzedzej, Z., Gelman, B. D.   +2 more
openaire   +2 more sources

Singularly perturbed functional-differential inclusions

Set-Valued Analysis, 1995
The following singularly perturbed system of functional differential inclusions with state constraints is considered: \[ (x'(t), \varepsilon y'(t))\in F(t, x(t), y(t), x_t, y_t),\quad x(t)\in K_1,\;y(t)\in K_2, \] where \(K_1\), \(K_2\) are closed convex sets and \(x\in \mathbb{R}^n\), \(y\in \mathbb{R}^m\).
Donchev, Tzanko, Slavov, Iordan
openaire   +1 more source

Estimates of support functions of averaged differential inclusions

Mathematical Notes of the Academy of Sciences of the USSR, 1991
See the review in Zbl 0743.34027.
openaire   +3 more sources

Inclusion of Zeros of Nowhere Differentiable n-Dimensional Functions

Reliable Computing, 1997
The author describes a method to calculate verified error bounds for the zeros of \(n\)-dimensional nonlinear nowhere differentiable continuous functions. An infinite number of zeros can be found within the calculated error bounds. To allow for computer applications interval operations may replace the power set operations. Numerical examples worked out
openaire   +2 more sources

Controllability of Functional Integro-Differential Inclusions with an Unbounded Delay

Journal of Optimization Theory and Applications, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chang, Y. K., Li, W. T.
openaire   +1 more source

Controllability for Functional Differential and Integrodifferential Inclusions in Banach Spaces

Journal of Optimization Theory and Applications, 2002
The authors study the controllability of functional differential inclusion systems, the controllability of functional integrodifferential inclusion systems, and the controllability of second-order functional differential inclusion systems. They use the Schauder fixed-point theorem for the controllability of functional differential inclusion systems ...
Benchohra, M., Ntouyas, S. K.
openaire   +2 more sources

Functional Differential Equations and Inclusions with Delay

2015
In this chapter, we shall prove the existence of solutions of some classes of functional differential equations and inclusions. Our investigations will be situated in the Banach space of real functions which are defined, continuous, and bounded on the real axis \(\mathbb{R}.\) We will use some fixed point theorems combined with the semigroup theory.
Saïd Abbas, Mouffak Benchohra
openaire   +1 more source

Partial Hyperbolic Functional Differential Inclusions

2012
In this chapter, we shall present existence results for some classes of initial value problems for partial hyperbolic differential inclusions with fractional order involving the Caputo fractional derivative, when the right-hand side is convex as well as nonconvex valued. Some results rely on the nonlinear alternative of Leray–Schauder type.
Saïd Abbas, Mouffak Benchohra, Gaston M. N’Guérékata   +2 more
openaire   +1 more source

On differential inclusions with additive generalized functions

Proceedings of the Steklov Institute of Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Existence Results for Functional Differential Inclusions with Infinite Delay

Acta Mathematica Sinica, English Series, 2005
Using Bohnenblust's and Karlin's fixed-point theorem, existence results to functional-differential inclusions with infinite delay in Banach spaces are proved.
openaire   +2 more sources