scholarly journals Uniformly Stable Positive Monotonic Solution of a Nonlocal Cauchy Problem

2012 ◽  
Vol 02 (02) ◽  
pp. 109-113 ◽  
Author(s):  
A. M. A. El-Sayed ◽  
E. M. Hamdallah ◽  
Kh. W. Elkadeky
Keyword(s):  
Cauchy Problem ◽  
Monotonic Solution ◽  
Nonlocal Cauchy Problem ◽  
Uniformly Stable

scholarly journals Uniqueness criterion for solution of abstract nonlocal Cauchy problem

1993 ◽  
Vol 6 (1) ◽  
pp. 49-54 ◽  
Author(s):  
L. Byszewski
Keyword(s):  
Cauchy Problem ◽  
Nonlocal Condition ◽  
Nonlocal Problem ◽  
Dissipative Operator ◽  
Uniqueness Criterion ◽  
Nonlocal Cauchy Problem

The aim of the paper is to prove an uniqueness criterion for a solution of an abstract nonlocal Cauchy problem. A dissipative operator in the nonlocal problem and an arbitrary functional in the nonlocal condition are considered. The paper is a continuation of papers [1]-[3] and generalizes some results from [4].

scholarly journals Existence of approximate solution to abstract nonlocal Cauchy problem

1992 ◽  
Vol 5 (4) ◽  
pp. 363-373 ◽  
Author(s):  
L. Byszewski
Keyword(s):  
Banach Space ◽  
Cauchy Problem ◽  
Approximate Solution ◽  
Closed Subset ◽  
Nonlocal Condition ◽  
Right Hand ◽  
The Right ◽  
Nonlocal Cauchy Problem

The aim of the paper is to prove a theorem about the existence of an approximate solution to an abstract nonlinear nonlocal Cauchy problem in a Banach space. The right-hand side of the nonlocal condition belongs to a locally closed subset of a Banach space. The paper is a continuation of papers [1], [2] and generalizes some results from [3].

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