[PDF] Top 20 Existence of solutions of multi point boundary value problems on time scales at resonance

... new multi-point BVPs on time scales at resonance, which have rarely been considered, and thus we need to over- come some new ... See full document

... the existence of solutions for a class of fractional multi-point boundary value problems at resonance with three- dimensional ... See full document

... the existence of positive solutions for a class of fractional multi-point boundary value problems under different resonant ...new existence results are ... See full document

... of multi-point linear boundary value problems was initiated by II’in and Moi- seev [, ...nonlinear multi-point boundary value problems have been ... See full document

... the existence of solutions for BVP ...at resonance case, and establish some existence theorems under nonlinear growth restriction of ...The boundary value problems ... See full document

... positive solutions for two kinds of m - point boundary value problems for an increasing homeomorphism and positive homo-morphism on time ...fixed point theorem, we obtain ... See full document

... the multi-point boundary value prob- lems for linear and nonlinear ordinary differential equations by using various methods, such as Leray-Schauder fixed point theorem, coincidence degree ... See full document

... We establish new results on the existence of positive solutions for the multi-point boundary value problem at resonance on the half-line. Our results are based on the ... See full document

... where T is a time scale, ,  ∈ T , [, ] T = [, ] ∩ T , φ : R → R is an increasing homeo- morphism and positive homomorphism with φ() = . A projection φ : R → R is called an increasing homeomorphism and ... See full document

... This paper is organized as follows. In Section , we provide some necessary background about time scales, the theory of cones in Banach space and some preliminary lemmas. We give and prove our main results ... See full document

... of time scales was initiated by Hilger 1 as a mean of unifying and extending theories from differential and difference ...of time scales has lead to several important applications in the study ... See full document

... Definition 2.2 A pair of functions (u, υ) ∈ Y is called a solution of the coupled system of multi-point boundary value problem (1.2)–(1.3) if D α–1 0+ u and D β–1 0+ υ are all absolutely ... See full document

... is investigated in this paper, where D α 0+ is the standard Riemann-Liouville fractional derivative of order 1 < α ≤ 2, 0 < η < 1, f ∈ C([0, 1] × R,R). Using intermediate value theorem, we obtain a ... See full document

... (x, y) ∈ X × Y provided C + < . Moreover, the set of solutions of () is bounded in X × Y. Proof By Lemma ., F is μ-Lipschitz with constant K ∈ [, ) and by Lemma . G is μ-Lipschitz with constant . It ... See full document

... the existence and uniqueness of nontrivial solutions to a class of fractional nonlocal multi-point boundary value problems of higher order fractional differential equation, ... See full document

... m-point boundary value problems for ordinary di ff erential equations arise in a va- riety of different areas of applied mathematics and ...the existence of positive solutions for ... See full document

... Multipoint boundary value problems BVPs for second-order differential equations in a finite interval have been studied extensively and many results for the existence of solutions, ... See full document

... interesting point is that the nonlinear term f is involved with the first order derivative explicitly and the main tool is a fixed point theorem due to Bai and ...general time scale ... See full document

... some existence criteria of solution for BVP ...basic time-scale definitions are presented and several preliminary results are ...fixed point theorem due to Krasnoselskii and Zabreiko, we establish ... See full document

... Remark 7.7. The question on how to ensure that [y(σ(t))] ∆ exists is naturally raised. This “smoothness” requirement will be satisfied if, for example, σ is differentiable or when the points in T are isolated ... See full document