Existence of a Solution of a Certain Volterra –Fredholm Integro Differential Equations [PDF]
In this paper, e investigate the existence of global solution for nonlinear mixed Volterra–Fredholm integro differential equation with nonlocal condition in Banach space. Our results depend on Leray –Schauder alternative theorem.
Akram H. Mahmood, Lamyaa H. Sadoon
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Existence of solutions to a regularized model of dynamic fracture [PDF]
Existence and convergence results are proved for a regularized model of dynamic brittle fracture based on the Ambrosio–Tortorelli approximation. We show that the sequence of solutions to the time-discrete elastodynamics, proposed by Bourdin, Larsen ...
Larsen, CJ +8 more
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Existence of the solution to a nonlocal-in-time evolutional problem
This work is devoted to the study of a nonlocal-in-time evolutional problem for the first order differential equation in Banach space. Our primary approach, although stems from the convenient technique based on the reduction of a nonlocal problem to its ...
Volodymyr Makarov +2 more
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On the existence of solutions for nonlinear parabolic problems with nonmonotone discontinuities
In this paper we consider a nonlinear parabolic problem with a discontinuous, nonmonotone nonlinearity. We assume the existence of an upper solution ϕ and a lower solution ψ such that ψ≤ϕ.
Papageorgiou, NS +1 more
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Existence of solutions for second-order evolution inclusions
In this paper we examine second-order nonlinear evolution inclusions and prove two existence theorems; one with a convex-valued orientor field and the other with a nonconvex-valued field. An example of a hyperbolic partial differen-tial inclusion is also
Papageorgiou, N +2 more
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Existence of a solution for a class of nonlinear parabolic systems
An existence result of a solution for a class of nonlinear parabolic systems is established. The data belong to $L^1$ and no growth assumption is made on the nonlinearities.
Hicham Redwane
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Global existence of solution to a nonlocal parabolic problem modeling linear friction welding
We study a nonlocal parabolic problem airing in the modeling of linear friction welding. Using some a priori estimates, we derive the global in time existence of solution of this nonlocal problem ...
Guo, Lin Yung-Jen +4 more
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A procedure for determining necessary and sufficient conditions for the existence of a solution to the multi-index problem [PDF]
summary:A procedure is given which will give the necessary and sufficient conditions for the existence of a solution to the multi-index problem of any given dimensions.
Smith, Graham
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Constrained extension of linear operators, approximation, and the moment problem [PDF]
Octav Olteanu
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Existence of solutions for nonlinear parabolic problems [PDF]
summary:We consider nonlinear parabolic boundary value problems. First we assume that the right hand side term is discontinuous and nonmonotone and in order to have an existence theory we pass to a multivalued version by filling in the gaps at the ...
Papageorgiou, N +3 more
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