Mykola Bokalo, Yuriy Dmytryshyn
Abstract:
We study some sufficient conditions for the existence and
uniqueness of a solution to a problem without initial conditions
for degenerate implicit evolution equations. We also establish a
condition of Bohr's and Stepanov's almost periodicity of solutions
for this problem.
Submitted December 15, 2007. Published January 02, 2008.
Math Subject Classifications: 34A09, 34G20, 35B15, 35K65, 47J35.
Key Words: Problems without initial conditions; degenerate implicit equations;
nonlinear evolution equations; almost periodic solutions.
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Mykola Bokalo Department of Differential Equations Ivan Franko National University of Lviv Lviv, Ukraine email: mm_bokalo@franko.lviv.ua |
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Yuriy Dmytryshyn Department of Differential Equations Ivan Franko National University of Lviv Lviv, Ukraine email: yuree@yandex.ru |
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