[PDF] Top 20 Degree theory and existence of positive solutions to coupled systems of multi-point boundary value problems

... for existence of positive solutions to boundary value problems for fractional order differential equa- tions, we refer to [–] and the references ...[–]. Existence of ... See full document

... establishing positive solutions and mul- tiple positive solutions for two-point and multi-point boundary value problems (BVPs) associated with ... See full document

... the existence and multiplicity of solutions for ...the existence and multiplicity of positive solutions for the FBVPs by means of some fixed-point theorems on ...the ... See full document

... order boundary value problems and estimate the bounds for these Green ...the existence of at least one positive solution for a coupled system of fractional order boundary ... See full document

... of multi-point boundary value problems has received increas- ing ...gree theory, are used to acquire the existence and multiplicity results, see [1, 2, 3, ...of ... See full document

... case, and the theory used in [] cannot be used. And to the best knowledge of the authors, the resonant case on time scales has rarely been considered. So, motivated by the papers mentioned above, in this paper, ... See full document

... [5] A. Guezane-Lakoud, S. Kelaiaia and A. M. Eid, “ tive Solution for a Non-Local Boundary Value Problem,” International Journal of Open Problems in Computer Sci- ence and Mathematics, Vol. 4, No. 1, ... See full document

... topological degree theory and cone theory, we study the existence of the positive solutions and the multiple positive solutions for singular and nonsingular system ... See full document

... (, ∞ ) → [, ∞ ) is continuous, that is, f (t, u) may be singular at t = ,  and u = . By constructing a special cone and using an approximation method and fixed point index theory, the authors obtained ... See full document

... fixed point index theory, the authors showed the existence of multiple positive solutions for the above Sturm-Liouville boundary value problems for second order ... See full document

... The theory of boundary value problems for ordinary differential equations arises in dif- ferent areas of applied mathematics, physics and so ...The existence of positive ... See full document

... the existence of symmetric positive solutions for ordinary differential equation boundary value problems; for example, see [–] and the references ...However, ... See full document

... Multipoint boundary value problems of ordinary differential equations (BVPs for short) arise in a variety of different areas of applied mathematics and ...a multi-point boundary ... See full document

... of existence and uniqueness of positive solutions to a class of coupled system with multi-point boundary conditions of nonlinear fractional order differential ...for ... See full document

... of positive solutions for a coupled system of nonlinear three-point boundary value problems of the type − x t f t, x t , y t , t ∈ 0, 1 , − y t g t, x t , y t , t ∈ 0, 1 , ... See full document

... fixed point theory one needs strong conditions to establish the case of FDEs and therefore restrict the applicability to certain classes of FDEs and their ...criteria degree theory plays an ... See full document

... Fractional differential equations have been of great interest recently. This is due to the intensive development of the theory of fractional calculus itself as well as its applications. Apart from diverse areas of ... See full document

... 2], boundary value problems for second- and higher-order di ff er- ential equations play a very important role in both theory and ...the existence of solutions and positive ... See full document

... control systems, flow in porous media, electromagnetics and ...the theory of existence of positive solutions for fractional order differential equations satisfying initial (or) ... See full document

... fixed point index theory in cone and constructing some available integral operators together with approximating ...the existence of at least one positive solution for nonlinear fourth-order ... See full document