Add to ORKGCopyright © 2014 Ezzat R. Hassan et al.This is an open access article distributed under the Creative CommonsAttribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We consider nonlinear ordinary differential equations in Banach spaces. Uniqueness criterion for the Cauchy problem is given when any of the standard dissipative-type conditions does apply. A similar scalar result has been studied byMajorana (1991). Useful examples of reflexive Banach spaces whose positive cones have empty interior has been given as well. 1
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AbstractA uniqueness theorem is proved for algebraically regular solutions to the unbounded initial ...
AbstractWe present some new uniqueness criteria for the Cauchy problem x′(t)=ft,x(t),x(t0)=x0, based...
We consider nonlinear ordinary differential equations in Banach spaces. Uniqueness criterion for the...
Recently Medeiros and Diaz and Weinacht have considered the question of uniqueness for the Cauchy pr...
The problem of uniqueness and existence of solutions to the initial value problem x ' = /(t,x)...
This final project discussed about the existence and uniqueness of the solution of an ordinary diffe...
Our aim is to establish and discuss a certain class of conditions on the functions fi which ensure t...
In this paper, we present some uniqueness results for systems of ordinary differential equations. Al...
This thesis addresses existence and uniqueness of solutions to certain classes of initial-value prob...
Existence of solutions to many kinds of PDEs can be proved by using a fixed point argument or an ite...
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AbstractThe purpose of this paper is to give a simple uniqueness result for a class of nonlinear par...
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1959.Includes bibliograp...
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