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As we previously said, in order to apply the twist fixed point theorem to prove the existence of periodic solutions to planar Hamiltonian systems, Birkhoff tried to replace
Known bounded derived sequences end (effectively) in cycles of lengths only 1 to 6, and 8, yet the existence of cycles of arbitrary length is conjectured.. It
Kupradze and his pupils the Laplace transform method was used to prove the existence of classical solutions of the basic three-dimensional boundary and boundary-contact dynamic
The purpose of this paper is to generalize these notions for differen- tial inclusions, to prove a relation between them and the existence of the solution of multipoint boundary
The focus of our present work is to establish the existence of almost periodic solutions of neutral functional differential equations by using the Razumikhin-type argument.. The
For a locally compact (not necessarily Hausdorff) groupoid endowed with pre-Haar systems (in the sense of [ 1 ] adapted to non-Hausdorff case) we prove that the space of
In this paper we prove the uniqueness of bounded solutions to a viscous diffusion equation based on approximate Holmgren’s approach.. Key words and phrases: Holmgren’s
For a locally compact (not necessarily Hausdorff) groupoid endowed with pre-Haar systems (in the sense of [ 1 ] adapted to non-Hausdorff case) we prove that the space of
