General Fractional Integro-Differential Equation of Order $\varrho\in(2,3]$ Involving Integral Boundary Conditions [PDF]
In this paper, we are interested in studying an integro-differential equation with two-point integral boundary conditions using the Caputo fractional derivative of order $2< \varrho \leq 3$.
Abdelati El Allaoui
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Global existence result for phase transformations with heat transfer in shape memory alloys [PDF]
We consider three-dimensional models for rate-independent processes describing materials undergoing phase transformations with heat transfer. The problem is formulated within the framework of generalized standard solids by the coupling of the momentum ...
Paoli, Laetitia, Petrov, Adrien
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On existence of weak solutions to a Cauchy problem for one class of conservation laws
We discuss the existence of weak solutions to the Cauchy problem for one classof hyperbolic conservation laws that models a highly re-entrant production system.The output of the factory is described as a function of the work in progress and theposition ...
P. I. Kogut, R. Manzo
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On Henig Regularization of State-Constrained Optimal Control Problem for the p-Laplace Equation
We study a Dirichlet optimal control problem for a quasilinear monotone p-Laplace equation with control and state constraints. The coefficient of the p-Laplacian, the weight u, we take as a control in L1(Ω).
P. I. Kogut, O. P. Kupenko
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A general existence result for the Toda system on compact surfaces [PDF]
In this paper we consider the Toda system of equations on a compact surface, which is motivated by the study of models in non-abelian Chern-Simons theory. We prove a general existence result using variational methods.
Battaglia, Luca +3 more
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Existence results for elliptic equations
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CASO, Loredana +2 more
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Periodic impulsive fractional differential equations
This paper deals with the existence of periodic solutions of fractional differential equations with periodic impulses. The first part of the paper is devoted to the uniqueness, existence and asymptotic stability results for periodic solutions of ...
Fečkan Michal, Wang Jin Rong
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On relaxation of state-constrained optimal control problem in coefficients for biharmonic equation
We study a Dirichlet optimal control problem for biharmonic equation withcontrol and state constraints. The coecient of the biharmonic operator, the weightu, we take as a control in L1(Ω).
P. I. Kogut, L. V. Voloshko
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An Existence Result for Optimal Obstacles
In the paper the optimization problem: \(\min \{F(g): g \in X(\Omega)\}\) is considered. The cost functional \(F(g)\) usually represents a variational energy associated to obstacle \(g\) which in turn belongs to the class of admissible obstacles defined as \[ X(\Omega) = \Biggl\{g: \Omega \to \mathbb R: g \leq \psi \;\text{ on} \Omega, \int_{\Omega}g ...
BUCUR D. +2 more
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An existence result for discontinuous games [PDF]
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