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EXISTENCE RESULTS FOR SOLUTIONS TO DISCONTINUOUS DYNAMIC EQUATIONS ON TIME SCALES
(Element, 2020-02-01)
In this paper, we present three results about the existence of solutions to discontinuous dynamic equations on time scales. The existence of Caratheodory type solution is produced using convergence and Arzela-Ascoli theorem. ...
On spikes concentrating on line-segments to a semilinear Neumann problem
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2011)
We consider the following singularly perturbed Neumann problem
Dichotomy and existence of periodic solutions of quasilinear functional differential equations
(ELSEVIER, 2010)
Using Krasnoselskii's fixed point theorem, functional analysis methods and dichotomy
theory, we study the existence and uniqueness of the periodic solutions of integrodifferential
equations with bounded and unbounded delays.
Existence of a BV solution for a mean curvature equation
(2021-10-25)
We prove the existence of a bounded variation solution for a quasilinear elliptic problem involving the mean curvature operator and a sublinear nonlinearity. We obtain such a solution as the limit of the solutions of another ...
Existence results for a damped second order abstract functional differential equation with impulses
(PERGAMON-ELSEVIER SCIENCE LTD, 2009)
In this work we study the existence and regularity of mild solutions for a damped second order abstract functional differential equation with impulses. The results are obtained using the cosine function theory and fixed ...
Stationary solutions to a Keller-Segel chemotaxis system
(IOS PRESS, 2006)
We consider the following stationary Keller-Segel system from chemotaxis
On the existence and uniqueness of the stationary solution to equations of natural convection with boundary data in L-2
(Royal SocLondonInglaterra, 2003)
Solutions of a nonlinear Schrodinger equation
(Amer Inst Mathematical SciencesSpringfieldEUA, 2002)