[PDF] Top 20 Existence of uncountably many bounded positive solutions to higher order nonlinear neutral delay difference equations

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

... several existence results of uncountably many bounded positive solutions for ...these bounded positive solutions and discuss the error estimates between ... See full document

... the existence of uncountably many bounded nonoscillatory solutions for equation ...these bounded nonoscillatory solutions and study error estimates between the ... See full document

... above equations, the delays of the neutral part in the discussed differential equations were all constant delays, and the main thought in the employed verification method also was kept the same in ... See full document

... i ∈ { 1, 2, . . . , m } , j ∈ { 1, 2, . . . ,l } . With respect to various ranges of the function p, we investigate the existence of uncountably many bounded nonoscillatory solutions ... See full document

... above method usually does not give sufficient conditions for the oscillation of all solutions of Eq. (). However, when assuming that the solutions of Eq. () satisfy appropriate con- ditions, sufficient ... See full document

... Difference equations are an area of considerable ...ence equations [–] and systems [, –] and some closely related topics such as find- ing their invariants or some applications [–]; see also ... See full document

... the existence and multiplicity of positive solutions to a class of higher-order delayed nonlinear fractional differential equations with m-point multi-term fractional ... See full document

... papers therein). The theory of dynamic equations unifies the theories of differential equations and difference equations. We suppose that the reader is familiar with the basic concepts ... See full document

... of existence and qualitative properties of solutions for various kinds of neutral delay differential equations has attracted much ...the existence of solutions which are ... See full document

... the existence of positive solutions of higher-order nonlinear neutral differential ...In order to obtain new sufficient conditions for the existence of a ... See full document

... (x · y)(t) = x(t) · y(t) for all t ∈ J. (3.3) It is known that the partially ordered Banach algebra C(J, R ) has some nice properties concerning the D -compatibility property with respect to the norm k · k and the ... See full document

... We invert the given equation to construct a fixed point mapping expressed as a sum of a large contraction and a compact map. We show that such a sum of mappings fits very nicely into the frame- work of ... See full document

... We see from Lemma . that V is a completely continuous mapping. By Lemma . it follows that there exists x ∈ such that (U + V )x = x, which is the desired bounded solution of Eq. (.) with lim inf t→∞ |x(t)| ... See full document

... 0, n ∈ Z, 1.5 has been studied. Other interesting contributions can be found in some recent papers 7–11 and in references contained therein. It is interesting to study second-order nonlinear difference ... See full document

... the existence of positive solutions for boundary value problems of high-order conformable differential equations involving the p-Laplacian ...the existence of at least one ... See full document

... has been aroused, where u(t) = u(t + ) – u(t),  u(t) = (u(t)), ∇F(t, x) = ∂F(t,x) ∂x , T is a positive integer, and Z and R denote the set of integers and the set of real numbers, respectively, and Z [a, b] = { ... See full document

... above equations, the delay of neutral part in the discussed differential equations were all constant ...of higher-order neutral differential equations with ... See full document

... The theory of time scales, which has recently received a lot of attention, was introduced by Hilger in his Ph.D. Thesis in 1988 in order to unify continuous and discrete analysis see Hilger 1. Several authors have ... See full document

... of nonlinear fractional q-difference equations have aroused considerable ...attention. Many people pay attention to the existence and multiplicity of solutions or positive ... See full document