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We also point out that even for some semilinear partial differential equations with simple characteristics Theorem 11 and Theorem 12 imply new results for the local solvability in
A number of papers were devoted to an analogous problem for deviated differential equations and systems of ordinary differential equations (see [2]–[6]). As to systems of de-
ON NONNEGATIVE SOLUTIONS OF A CERTAIN BOUNDARY VALUE PROBLEM FOR FIRST ORDER LINEAR FUNCTIONAL..
Krasnosel’ski˘ı fixed point theorem has been extensively used in differential and functional differential equations, by Burton in proving the existence of periodic solutions..
arises from a simple linear differential equations whilst its solution curve over a finite interval. has
On the other hand, an alternative method (Azbelev’s W -transform method) to study asymptotic properties of linear functional-differential equations, based on auxiliary equations
Oscillatory behaviour of higher order neutral type nonlinear forced differential equation with oscillating coefficients.. Oscillation Theory of Delay Differential Equations:
We establish new efficient conditions for the unique solvability of a non-local boundary value problem for first-order linear functional differential equations.. Differential