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- Title
INTERNAL NONLOCAL AND INTEGRAL CONDITION PROBLEMS OF THE DIFFERENTIAL EQUATION x<sup>'</sup>= f(t, x, x<sup>'</sup>).
- Authors
El-Sayed, A. M. A.; Hamdallah, E. M.; Elkadeky, Kh. W.
- Abstract
In this work, we are concerned with the existence of at least one absolutely continuous solution of the Cauchy problem for the differential equation x' = f(t; x; x'); t ∈ (0; 1) with the internal nonlocal condition Σmk=1 akx(_k) = xo; Τ_k ∈ (c; d) ⊂ (0; 1): The problem of the integral condition ∫dc x(s) dg(s) = xo will be considered.
- Publication
Journal of Nonlinear Sciences & Applications (JNSA), 2011, Vol 4, Issue 3, p193
- ISSN
2008-1898
- Publication type
Academic Journal
- DOI
10.22436/jnsa.004.03.02