Recently Medeiros and Diaz and Weinacht have considered the question of uniqueness for the Cauchy problem for ordinary differential equations in a complex Hilbert space. The present paper extends their results to the case of equations in an arbitrary real or complex Banach space. © 1975 American Mathematical Society
We find new sufficient conditions for the uniqueness of solutions of quadratic and in general multil...
AbstractThis paper details an existence and uniqueness theorem for solving an operator equation of t...
Our aim is to establish and discuss a certain class of conditions on the functions fi which ensure t...
We consider nonlinear ordinary differential equations in Banach spaces. Uniqueness criterion for the...
Copyright © 2014 Ezzat R. Hassan et al.This is an open access article distributed under the Creative...
Let H be a complex Hilbert space, and let A be a linear, unbounded operator defined on a domain D in...
This paper deals with the behavior of solutions of ordinary differential equations in a Hilbert Spac...
The existence of solutions of the Cauchy problem x^′=f(t, x), x(0)=x_0∈E in a Banach space E are stu...
This final project discussed about the existence and uniqueness of the solution of an ordinary diffe...
Suppose that C is an arbitrary bounded operator on a Banach space. We define a pair of families of C...
The problem of uniqueness and existence of solutions to the initial value problem x ' = /(t,x)...
Existence of solutions to many kinds of PDEs can be proved by using a fixed point argument or an ite...
AbstractThe purpose of this paper is to give a simple uniqueness result for a class of nonlinear par...
AbstractConditions are found under which the abstract Cauchy problem u′(t) = Au(t), u(0) = u0 has a ...
Abstract In this paper, the existence and uniqueness of solutions for a class of nonlinear integro-d...
We find new sufficient conditions for the uniqueness of solutions of quadratic and in general multil...
AbstractThis paper details an existence and uniqueness theorem for solving an operator equation of t...
Our aim is to establish and discuss a certain class of conditions on the functions fi which ensure t...
We consider nonlinear ordinary differential equations in Banach spaces. Uniqueness criterion for the...
Copyright © 2014 Ezzat R. Hassan et al.This is an open access article distributed under the Creative...
Let H be a complex Hilbert space, and let A be a linear, unbounded operator defined on a domain D in...
This paper deals with the behavior of solutions of ordinary differential equations in a Hilbert Spac...
The existence of solutions of the Cauchy problem x^′=f(t, x), x(0)=x_0∈E in a Banach space E are stu...
This final project discussed about the existence and uniqueness of the solution of an ordinary diffe...
Suppose that C is an arbitrary bounded operator on a Banach space. We define a pair of families of C...
The problem of uniqueness and existence of solutions to the initial value problem x ' = /(t,x)...
Existence of solutions to many kinds of PDEs can be proved by using a fixed point argument or an ite...
AbstractThe purpose of this paper is to give a simple uniqueness result for a class of nonlinear par...
AbstractConditions are found under which the abstract Cauchy problem u′(t) = Au(t), u(0) = u0 has a ...
Abstract In this paper, the existence and uniqueness of solutions for a class of nonlinear integro-d...
We find new sufficient conditions for the uniqueness of solutions of quadratic and in general multil...
AbstractThis paper details an existence and uniqueness theorem for solving an operator equation of t...
Our aim is to establish and discuss a certain class of conditions on the functions fi which ensure t...
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