Erratic solutions of simple delay equations

EXISTENCE OF PERIODIC SOLUTIONS IN TOTALLY NONLINEAR NEUTRAL DIFFERANCE EQUATIONS WITH VARIABLE DELAY

Parallel Solutions of Simple Index Recurrence Equations

We deene a new type of recurrence equation called \Simple Indexed Recurrences" (SIR). In this type of equation, ordinary recurrences of the form Xi] = opi(Xi ? 1]; Xi]) i = 1 : : : n are generalized to Xg(i)] = opi(Xf(i)];Xg(i)]), where f; g : f1 : : : ng 7 ! f1 : : : mg and g is distinct. This enables us to model sequential loops of the form for i = 1 to n Xg(i)] = opi(Xf(i)];Xg(i)]); as a seq...

Oscillatory Solutions for Certain Delay-differential Equations

The existence of oscillatory solutions for a certain class of scalar first order delay-differential equations is proved. An application to a delay logistic equation arising in certain models for population variation of a single specie in a constant environment with limited resources for growth is considered. It is known (cf. [1, 2]) that all solutions of the delay logistic equations (1) N'(t) =...

Existence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay

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Existence of Extremal Solutions for Impulsive Delay Fuzzy Integrodifferential Equations in $n$-dimensional Fuzzy Vector Space

In this paper, we study the existence of extremal solutions forimpulsive delay fuzzy integrodifferential equations in$n$-dimensional fuzzy vector space, by using monotone method. Weshow that obtained result is an extension of the result ofRodr'{i}guez-L'{o}pez cite{rod2} to impulsive delay fuzzyintegrodifferential equations in $n$-dimensional fuzzy vector space.