Oscillation Theory of Differential Equations with Deviating Arguments |
Contents
PREFACE iii | 1 |
FIRST ORDER LINEAR EQUATIONS | 15 |
FIRST ORDER NONLINEAR EQUATIONS | 70 |
Copyright | |
5 other sections not shown
Common terms and phrases
assume that y(t Banach space bounded nonoscillatory solution bounded solution C[R+ c₁ characteristic equation compact conditions of Theorem Consider the equation constant sign continuous functions contradiction convergence convex COROLLARY defined delay differential equation deviating arguments differential inequality equations with deviating equicontinuous eventually positive solution EXAMPLE finite fixed point theorem following result holds implies initial function Integrating interval Lemma Let y(t lim y(t liminf limsup linear locally convex space ly(t monotone Myskis necessary and sufficient nondecreasing nonoscillatory solution y(t obtain ODEWDA ordinary differential equations oscillation oscillation theory p(t₁ P₁ P₂ positive numbers proof is complete proof of Theorem prove REMARK satisfies condition satisfies the conditions Section solutions of 2.6.1 strongly sublinear subintervals subset sufficient condition sufficiently large t₁ T₁(t t₂ type equation v₁ y(t₁ y₁ y₁(t y₂