[PDF] Top 20 Positive Solutions for a Class of Coupled System of Singular Three-Point Boundary Value Problems

... Multipoint boundary value problems BVPs arise in different areas of applied mathematics and ...Multipoint boundary value problem 1. Many problems in the theory of elastic ... See full document

... so-called system of semiposi- tone boundary value ...or singular at t =  and/or t = . The boundary conditions above include multi-point and integral boundary conditions ... See full document

... one positive solution for a coupled system of fractional higher order two-point boundary value problems on a suitable cone in a Banach ...order boundary ... See full document

... of boundary value problems (BVP for short) of fractional differential equation, such as the nonlocal BVP [1, 3, 7, 13, 18], singular BVP [6, 8, 11, 19, 20, 25], semipositone BVP [14–16, 23], ... See full document

... years, singular boundary value problems to second ordinary differential equations have been studied extensively (see ...the positive solutions for second order singular ... See full document

... Nontrivial solutions of m-point boundary value problems for singular second-order differential equations with a sign-changing nonlinear ...RY: Positive solutions of ... See full document

... a class of singular fractional differential equations with nonlocal boundary value ...of positive solutions are derived by the fixed point index theory, and the nonlinearity ... See full document

... one positive solution for 1.1 by using Krasnoselskii’s fixed point theorem and nonlinear alternative of Leray-Schauder type in a cone and assuming certain hypotheses on the function ... See full document

... of positive solutions for (S)-(BC) has been studied in [] by using the Guo-Krasnosel’skii fixed point ...of positive solutions of the system (S) with λ = μ = , f (t, u, v) = f ... See full document

... many problems in optimal control system, neural network (for example in BAM neural network) and information systems for computational science and engineering (espe- cially in Internet-based computing) can ... See full document

... a system of second-order equation, the treat- ment method of second-order system does not apply to the problem ...of positive solutions of the problem ... See full document

... of solutions of fractional boundary value problem at resonance by using the coincidence degree theory due to Mawhin (see ...fractional three- point boundary value problem ... See full document

... fixed point theorem, we state and prove the existence results for ...view point sheds some new light on problems with weak force potentials and prove that in some situations weak singularities may ... See full document

... multiple positive solutions for a system of nonlinear fractional order infinite-point boundary value prob- ...fixed point theorem of the cone expansion and compression of ... See full document

... of solutions to boundary value problems for fractional differential equations had attracted the attention of many authors, see for example, [4, 6, 8, 9, 15, 16, 19, 27] and the references ... See full document

... of positive solutions of system ...fixed point theorem under the conditions that q(t) : (, ) → (– ∞ , + ∞ ) is Lebesgue integrable, q(t) may have finitely many singularities in [, ], and f , ... See full document

... a positive parameter. The m -point boundary value problem for linear second-order ordinary diffe- rential equations was initiated by Ilin and Moiseev [1] ...multi-point boundary ... See full document

... u, singular nonlinear m-point boundary value problems have been extensively studied in the literature, see 1–3 ...to point out that the nonlinearity ft, u, v may be ... See full document

... the boundary conditions u(0) = u (0) = u (0) = 0 and u (1) – α u ( η ) = λ ...one positive solution to the ...be singular at t = 0 and t = ... See full document

... integral boundary value ...fixed point theorem and (ii) Leray–Schauder alternative, some sufficient conditions of the existence and uniqueness of solutions for these problems were ... See full document