[PDF] Top 20 Uncountably many solutions of first order neutral nonlinear differential equations

... 6. Erbe, LH, Kong, QK, Zhang, BG: Oscillation Theory for Functional Differential Equations. Dekker, New York (1995) 7. Levitan, BM: Some problems of the theory of almost periodic functions I. Usp. Mat. Nauk 2(5), ... See full document

... ference equations appear in a natural way; see, for example, [, ...bounded solutions to many types of difference equation have been widely ...second order, see, for example, [–], and for ... See full document

... of uncountably many bounded nonoscillatory solutions Now we investigate sufficient conditions for the existence of uncountably many bounded nonoscillatory solutions of ... See full document

... functional differential equations with piecewise constant arguments, see, for example in literature ...of neutral functional differential equations with piecewise constant arguments ... See full document

... the solutions of a first order neutral nonconstant delay impulsive differential equations with variable coefficients, ...the solutions of a first order ... See full document

... where G(t, s) is the Green’s function associated to (1.2), see [7–13] for more details. Compared with the non-resonant problems, the research of resonant problems proceeds very slowly and the related results are few. ... See full document

... second order neutral functional differential equations have applications in problems dealing with vibrating masses attached to an elastic bar and in some variational ...of solutions of ... See full document

... of solutions of differential equations with deviating ...of differential equations ...the nonlinear neutral delay differential equation ... See full document

... differential equations, there are two techniques which are used to reduce the higher-order equations to the first-order Riccati equation or ...different equations which cannot be ... See full document

... differential equations for proving the existence results under certain monotonic ...then many mathe- maticians have established several fixed point theorems for different classes of contraction ... See full document

... periodic solutions of ...periodic solutions of the following first-order neutral differential equations with time-varying delays and ... See full document

... ficulties one encounters lies in the fact that x(t) ≥ ( – p(t))z(t) is not a valid estimate if p(t) >  and x is an eventually positive solution of (.). The question regarding the anal- ysis of oscillatory behavior ... See full document

... maximal solutions of the neutral QHFDE ...the order relation ≤ defined by (3.2) is equivalent to the order relation defined by the order cone K = {x ∈ C(J, R ) | x(t) ≥ 0 for all t ∈ J} ... See full document

... of neutral delay differential equations presents com- plications and the results which are true for neutral differential equations may not be true for nonneutral differential ...of ... See full document

... Abstract. In this work, we consider the existence of nonoscillatory solutions of second order nonlinear neutral differential equations. Our results include as special cases some ... See full document

... In this paper, we study a class of first-order neutral differential equations with time-varying delays and coefficients. Employing the fixed point method and differential inequality techniques, easily ... See full document

... all solutions of equation ...in order that every solution of equa- tion ...non-oscillatory solutions of equation ...the solutions of equation ... See full document

... functional differential equations have been studied in recent ...of equations, one may follow [1, 2, 11, 12] and the references cited ...functional differential equations received much ... See full document

... YU YUAN--HONG, Oscillation of solutions of neutral delay differential equations,Acta.. On the existence of positive solutions of neutral delay differential equations,Scientia Sinica Seri[r] ... See full document

... Recently, neutral delay difference equations, that is, difference equations in which the highest order difference of the unknown sequence appears both with and without delays, have ... See full document