A multivalued fixed point theorem in non-archimedean vector spaces.
Existence theorem for multivalued hyperbolic equation
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Kneser's Theorem For Weak Solutions Of Ordinary Differential Equations In Banach Spaces
An existence theorem for the generalized hyperbolic equation in Banach space
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Oscillation and global attractivity in a discrete survival red blood cells model
We consider the discrete survival red blood cells model (*) , where δₙ and Pₙ are positive sequences. In the autonomous case we show that (*) has a unique positive steady state N*, we establish some sufficient conditions for oscillation of all positive solutions about N*, and when k = 1 we give a sufficient condition for N* to be globally asymptotically stable. In the nonatonomous case, assuming that there exists a positive solution Nₙ*, we present necessary and sufficient conditions for oscillation...
Asymptotic properties of third order functional dynamic equations on time scales
The purpose of this paper is to study the asymptotic properties of nonoscillatory solutions of the third order nonlinear functional dynamic equation , t ≥ t₀, on a time scale , where γ > 0 is a quotient of odd positive integers, and p, q, r and τ are positive right-dense continuous functions defined on . We classify the nonoscillatory solutions into certain classes , i = 0,1,2,3, according to the sign of the Δ-quasi-derivatives and obtain sufficient conditions in order that . Also, we establish...
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