[PDF] Top 20 Countably Many Positive Solutions for Nonlinear Singular n Point Boundary Value Problems

... Moreover, 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 ... See full document

... has countably many singularities in 0, 1/2 ...three-point boundary value problem is first given, and growth conditions are imposed on nonlinearity f which yield the existence of ... See full document

... The boundary value problems with integral boundary conditions occur in the study of nonlocal phenomena in many different areas of applied mathematics, physics and engineering, in ... See full document

... and Hölder’s inequality, the authors showed the existence of countably many positive so- lutions. The other related results can be found in [–]. However, there are almost no papers considering ... See full document

... fixed point index on a cone and the Leray-Schauder fixed point theorem, we present the multiplicity of positive solutions for the singular nonlocal boundary-value ... See full document

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

... of positive solutions for boundary value problems with p-Lapla- cian in Banach ...discussing positive solution for boundary value problems in Banach ... 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

... and many applications of fractional differential equations have appeared in some fields which include physics, engineering, biological science, chemistry, etc; see [4, 5, 7– 12, 15, 16, 19, 27] and the references ... See full document

... of positive solutions to the problem (1.1). The nonlinear term f may take negative values and the nonlinearity may be ...multi-point boundary value ...of positive ... See full document

... of solutions of this class of prob- lems by employing different fixed point ...Recently, many scholars have paid more attention to the fractional order differential equation boundary value ... See full document

... Since the problem (1.1) cannot transform into a system of second-order equation, the treat- ment method of second-order system does not apply to the problem (1.1). Thus, existing lit- erature on the problem (1.1) is ... See full document

... be singular at u = ...tiple positive solutions for singular positone and semipositone boundary value problems by means of the Leray–Schauder nonlinear alternative, ... See full document

... where η ∈ 0, 1, 0 < α < 1/η, f, g ∈ C0, 1 × 0, ∞ × 0, ∞, 0, ∞. We allow f and g to be singular at t 0, t 1, and also x 0 and/or y 0. We study the sufficient conditions for existence of positive solution ... See full document

... engineering, nonlinear fourth- order two-point boundary value problems have received wide attentions see 7–12 and references ...the boundary value problem ...be ... See full document

... “Singular boundary-value problems for ordinary second-order di ff erential equations,” Journal of Soviet Mathematics, ...Two-Point Boundary Value Problems: Lower and ... See full document

... smooth positive solutions to the second-order singular m-point boundary value problem ...smooth positive solutions is given by constructing lower and upper ... See full document

... infinite-point boundary value conditions are considered in this ...multiple positive solutions for BVP (). As to multiple positive solutions, it is worth pointing out that ... See full document

... There is considerable literature which is relevant to our work. Stanˇ ek [14] considers x = μq(t)f(t, x, x ) (0 < t < T ) with boundary conditions of the type ax(0) − bx (0) = k > 0, x(T ) = 0. The ... See full document

... in boundary value problems for nonlinear ordinary differential equations,” in Handbook of Differential Equations: Ordinary Differential ... See full document