[PDF] Top 20 Positive solutions of periodic boundary value problems for the second-order differential equation with a parameter

... appropriate boundary value conditions, the existence of positive solution of equa- tion () is significant and ...a periodic force at a place which lies asymmetric with respect to system config- ... See full document

... where  < η < , b > , and  – bη > . The main tool is the fixed point index theory. For some other excellent results and applications of the case that ordinary differential equa- tion with deviating ... See full document

... where q ∈ C([0, 2 π ], [0, + ∞ )) with q ≡ 0, f ∈ C( R , R ), the weight h ∈ C[0, 2 π ] is a sign-changing function, λ is a parameter. We prove the existence of three positive solutions when h(t) has ... See full document

... of positive solutions for a class of higher-order nonlocal fractional differential equations with Riemann-Stieltjes integral boundary ...integral equation, and then by applying a fixed ... See full document

... The parameter r corresponds to the reciprocal of the ...of positive solutions of BVPs for second-order differen- tial equations with indefinite weight has been studied by many authors, ... See full document

... initial value problems, which are normally uniquely solvable, boundary value problems can have no solution or several ...weak solutions of this problem. To consider the exis- ... See full document

... the parameter l, this article investigates the existence of a positive solution for a class of nonlinear boundary value problems of second-order differential ... See full document

... study periodic boundary value problems for first and second order functional dif- ferential equations with impulse, the approaches used in [, –, –, –] are the monotone ... See full document

... Note that the nonlinear term f depends on u and its derivative u , then the relative prob- lem becomes more complicated. A general method to deal with this difficulty is to add some conditions to restrict the growth of the ... See full document

... correspondence second- order functional differential equation with periodic boundary conditions and the functional dependence given by the piecewise constant ...of solutions of ... See full document

... In the paper we provide sufficient conditions for the existence of positive solutions for some second-order differential equation subject to periodic boundary conditions. Our ... See full document

... of positive solutions of Sturm-Liouville boundary value problems for singular nonlinear second-order impulsive integro differential equation in a real Banach ...of ... See full document

... ft, x is separable by using cone expansion-compression fixed point theorem. In 3, the singular third-order three-point BVP 1.1 is considered under some conditions concerning the first eigenvalues corresponding to ... See full document

... where a min{0, inf{τ t : 0 ≤ t ≤ 1}}, b max{1, sup{τt : 0 ≤ t ≤ 1}}, and the existence of positive solutions to 1.1 is obtained. When τt t − r in 1.1, Agarwal and O’Regan in 5, Lin and Xu in 6 discussed the ... See full document

... Fractional derivatives and integrals are generalizations of traditional integer-order differ- ential and integral calculus. The history of fractional calculus reaches back to the end of 17th century, this idea has ... See full document

... to periodic problems of the second-order delay equation () as well as Equation () (for Equation (), see ...of positive periodic solutions of ... See full document

... In this paper we deal with one kind of second order periodic-integrable boundary value problem. Using the lemma on bilinear form and Schauder’s fixed point theorem, we give the existence ... See full document

... Let the real Banach space E with the norm · be partially ordered by a cone P of E, i.e., u ≤ v if and only if v – u ∈ P, and P is said to be normal if there exists a positive constant N such that θ ≤ u ≤ v implies ... See full document

... 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

... studying boundary value problems for nonlinear differential equations; see 1 and the references ...to boundary value problems of functional differential equations ...of ... See full document