Results 211 to 220 of about 164,821 (252)

Transversality condition and optimization of higher order ordinary differential inclusions

Optimization, 2014
In the present paper, a Bolza problem of optimal control theory with a fixed time interval given by convex and nonconvex second-order differential inclusions (PH) is studied. Our main goal is to derive sufficient optimality conditions for Cauchy problem of sth-order differential inclusions. The sufficient conditions including distinctive transversality
E. Mahmudov
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Ordinary Differential Inclusions with Internal and External Perturbations

Differential Equations, 2000
Let \(\mathbb{R}^ n\) be the space of column \(n\)-vectors with Euclidean norm \(|\cdot|\); \(\text{comp}[\mathbb{R}^ n]\) be the set of all non-empty bounded closed subsets of \(\mathbb{R}^ n\); \(B[u,r]\) be the closed ball with center \(u\) and radius \(r>0\). For \(V\subset \mathbb{R}^ n,\) \(\operatorname {co}V\) denote the convex hull of the set \
Bulgakov, A. I., Efremov, A. A., Panasenko, E. A.   +2 more
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Impulsive Boundary Value Problems for First-order Ordinary Differential Inclusions

Acta Mathematicae Applicatae Sinica, English Series, 2007
The authors prove existence results for the following class of boundary value problems \[ u'(t)+\lambda(t)u(t)\in F(t,u(t)), \quad\text{a. e. }t\in [0,T]\backslash \{t_{1},t_{2},\ldots,t_{m}\}, \] \[ \Delta u| _{t=t_{k}}=I_{k}(u(t_{k}^{-})), \quad k=1,2,\ldots,m, \] \[ u(0)-u(T)=\mu, \] where \(F:[0,T]\times\mathbb R^{n}\to P(\mathbb R^{n})\) is a ...
Liu, Yi-Cheng, Wu, Jun, Li, Zhi-Xiang
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A study of a self-adjoint coupled system of three nonlinear ordinary differential inclusions with cyclic anti-periodic boundary conditions

Discussiones Mathematicae Differential Inclusions, Control and Optimization
Summary: In this article, we shall deal with the existence theory for a self-adjoint coupled system of three nonlinear second-order ordinary differential inclusions with cyclic anti-periodic boundary conditions on an arbitrary domain. We consider convex valued as well as non-convex valued right-hand side of the given system and apply the standard fixed-
Ahmad, Bashir, Alsaedi, Ahmad, Almalki, Amal, Ntouyas, Sotiris K.   +3 more
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Eigenvalue inclusions for second-order ordinary differential operators by a numerical homotopy method

ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1990
An automated homotopy method, based on elementary estimates, is described for the computation of inclusion intervals for the first N eigenvalues of Sturm-Liouville problems with either separated or periodic boundary conditions. Interval arithmetic (with FORTRAN-SC subroutines) is used to deal with roundoff.
M. Plum
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On Duality of Ordinary Discrete and Differential Inclusions with Convex Structures

2011
E. Mahmudov
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Duality in optimal control with first order partial differential inclusions

Applicable Analysis, 2021
For the first time in this paper, the dual problem is constructed for the problem with generalized first order partial differential inclusions, the duality theorem is proved.
E. Mahmudov
semanticscholar   +1 more source

Optimization of Ordinary Discrete and Differential Inclusions and t1-Transversality Conditions

2011
E. Mahmudov
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Using solution sets for solving boundary value problems for ordinary differential equations

Nonlinear Analysis: Theory, Methods & Applications, 1991
The authors consider a differential equation of the type \(\dot x = f(t,x)\) together with the boundary condition \(x \in S\), where \(S\) is a subset of the space \(C\) of continuous functions. The existence of a solution for such a problem is deduced from the properties of the set of solutions of an associated family of problems, parameterized by an ...
ANICHINI, GIUSEPPE, CONTI, GIUSEPPE, ZECCA, PIETRO   +2 more
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Three periodic solutions for an ordinary differential inclusion with two parameters

Annales Polonici Mathematici, 2012
Applying a nonsmooth version of a three critical points theorem of Ricceri, we prove the existence of three periodic solutions for an ordinary differential inclusion depending on two parameters.
openaire   +2 more sources