Electron. J. Diff. Eqns., Vol. 2008(2008), No. 04, pp. 1-16.

Problems without initial conditions for degenerate implicit evolution equations

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
Yuriy Dmytryshyn
Department of Differential Equations
Ivan Franko National University of Lviv
Lviv, Ukraine
email: yuree@yandex.ru

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