[PDF] Top 20 Triple Positive Solutions for a Type of Second-Order Singular Boundary Problems

... of triple positive differential equations, the method has not been used to study this type of second-order singular boundary value problem with general differential ...these ... See full document

... of positive solutions of a singular boundary value problem for second-order di ff erential systems with impulse e ff ...lower solutions method and fixed point index ... See full document

... existence of multiple positive solutions. In all the above-mentioned articles f is supposed to be nonnegative. When Φ(v) = v, Agarwal et al. [1] as well as Ge and Ren [4] discussed the existence of ... See full document

... Webb, JRL, Lan, KQ: Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type.. Topolog Methods Nonlinear Anal J Ju[r] ... 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 , x0 y0 0, x1 ... See full document

... that (0) = 0, the so-called -Laplacian operator (see, e.g., [2–4, 7, 13, 15]). Other papers have been devoted to the case of singular or non-surjective operators (see [1, 8, 9]). The -Laplacian operators are ... See full document

... of second-order lin- ear difference equations subject to the boundary conditions (BC), and we present the prop- erties of the corresponding Green ...of positive solutions of problem ... See full document

... The rest of the present paper is structured as follows. In the next section, we intro- duce some notation and preliminary results. In particular, we give some properties of the Green’s function related to problem (1.1). ... See full document

... periodic solutions of the second-order equation x f t, x , where f is a Carath´eodory function, by combining a new expression of Green’s function together with Dancer’s global bifurcation ... See full document

... fourth-order boundary value problems of ordinary value problems have important application in various branches of pure and applied ...the boundary value problems of the ... 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 ...multi-point boundary value problem [3]. Many ... See full document

... norm type has been applied to various boundary value problems to show the existence of positive solutions; for example, see 7, 8, 11, 19, 23, ...of positive solutions of ... See full document

... periodic solutions of ...lower solutions [2, 10, 15], fixed point theorems [6, 7, 17–19], alternative principle of Leray–Schauder [4, 11], or topological degree theory [23, ...for positive ... See full document

... Then problem 1.1 has a positive solution u with ut > 0 for t ∈ 0, 2π and r/ρ < u ω < R/ρ. The rest of this paper is organized as follows. In Section 2, some preliminary results will be given. In Section ... See full document

... Inspired and motivated by the works mentioned above, we deal with the existence and nonexistence of positive solutions to problem (.) by making use of the fixed point theo- rem together with the properties ... See full document

... of positive solutions for (), that is, for the singular BVP with the derivative dependence and non-local boundary ...the singular nonlinear term f to an appropriately chosen subset [, ... 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 value ... See full document

... and second authors were supported financially by the National Natural Science Foundation of China (10471075) and the State Ministry of Education Doctoral Foun- dation of China ... See full document

... “Periodic solutions for P-Laplacian differential equation with singular forces of attractive type,” IAENG International Journal of Applied Mathematics, ...“Maximal Order Block Method For ... See full document

... value problems for impulsive differential equations arise from many nonlin- ear problems in sciences, such as physics, population dynamics, biotechnology, and eco- nomics ...multiple solutions and ... See full document