Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 04, pp. 1-16.

Title: Problems without initial conditions for degenerate implicit
       evolution equations

Authors: Mykola Bokalo (Ivan Franko National Univ., Lviv, Ukraine)
         Yuriy Dmytryshyn (Ivan Franko National Univ., Lviv, Ukraine)

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.