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The existence of positive weak solutions is related to spectral information on the corresponding partial differential opera- tor.. 2000 Mathematics Subject Classification:
In Subsection 1.2 we prove the existence theorem under an assumption on the boundary data g that is reminiscent of the compatibility conditions in the theory of 1st
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
In the present study, using the characterizations of measures of noncompactness we prove a theorem on the existence and local asymptotic stability of solutions for a
In this paper we prove sufficient conditions for the existence of global solutions of nonlinear functional-differential evolution equations whose linear parts are infin-
In this paper, we prove the existence of nontrivial nonnegative classical time periodic solutions to the viscous diffusion equation with strongly nonlinear periodic sources..
We prove some theorems relating algebraic properties of the annihilating ideal of a pair of non-unitary commuting contractions with the existence of common invariant subspaces.. We
On the basis of two-dimensional self-similar solutions, the existence of a unique smooth solution close to the corresponding solution of the one-dimensional Stefan problem in
