[PDF] Top 20 Multiplicity of positive solutions of superlinear semi-positone singular Neumann problems

... Thus all the conditions of Theorem . are satisfied, so the existence is guaranteed. Corollary . Assume that α > , β >  and k : I → R is continuous, μ >  is chosen such that (.) holds. Take H = k . Then ... See full document

... of solutions admitted subject to the vari- ations of parameters embedded in nonlinear ...and multiplicity of positive solutions for the elliptic equations has been extensively inves- tigated; ... See full document

... of singular fractional differential equations with nonlocal boundary value ...and multiplicity of positive solutions are derived by the fixed point index theory, and the nonlinearity f(t, x) may ... See full document

... As mentioned above, this paper is mainly motivated by the recent paper [, ]. The aim of this paper is to study the multiplicity of positive solutions to (.). It is proved that such a problem ... See full document

... of positive solutions will be ...nodal solutions for λ ∈ (, λ * ), we mention the recent paper of Gasiński and Papageorgiou [], which studies the (p, )-equations and produces nodal ... See full document

... two positive constants with K <  sin  T π ...of solutions of ...of solutions and positive solutions of ...of solutions and positive solutions of ... See full document

... only prove in Theorem . that there exist multiple positive solutions for (.)-(.), and by virtue of [], under appropriate conditions of the nonlinearity f , we also obtain the exact ... See full document

... a positive solution to nonzero three-point boundary values problem for a coupled system of fractional differential ...value problems of the fractional order differential ...and multiplicity result of ... See full document

... multiple positive solutions was obtained by using the fixed-point index ...itive solutions for the positone case and has at least one positive solution for the semipositone ... See full document

... entire solutions for ...lower solutions, and (.) coupled with the Neumann boundary conditions has been considered by López [] and Bereanu et ...and multiplicity results concerning ... See full document

... of solutions for differential equations has been widely stud- ied by many scholars in the mathematical sense (see [–] and the references ...and multiplicity of positive solutions for the ... See full document

... and multiplicity of solutions for the three-point nonlinear bound- ary value problem u (t) + λa(t) f (u) = 0, 0 < t < 1; u(0) = 0 = u(1) − γu(η), where η ∈ (0, 1), γ ∈ [0, 1), a(t) and f (u) are ... See full document

... a positive constant. They obtained nonexistence and multiplicity results on sub- linear nonlinearities and an existence result on superlinear nonlinearities for (8), ... See full document

... Ω with positive measure, so we extend the range of the nonlinearity largely. On the other hand, from Remark 1.5 we can see that our Assumption 1.2 is weaker than Assumption 1.1 and we believe that Assumption 1.2 ... See full document

... at least one positive solution u with u < m for any λ >  by using the fixed point theo- rem and Proposition .. Compared with the main results of [], the interval of λ is sharp. However, Theorem ... See full document

... they are negative at the origin (semipositone) and superlinear at infinity. We establish the existence of a positive solution for λ small via degree theory and rescaling arguments. We also discuss a ... See full document

... tive Solutions to Superlinear Periodic Boundary Value Problem, with Repulsive Singular Forces,” Journal of Mathematical Analysis and Applications, ...“Periodic Solutions for Second-Order ... See full document

... Let E be a real Banach space and P be a cone in E, which defines a partial ordering in E by x ≤ y if and only if y – x ∈ P. P is said to be normal if there exists a positive constant N such that θ ≤ x ≤ y implies x ... See full document

... We present some recent existence results for second-order singular periodic differential equations. A nonlinear alternative principle of Leray-Schauder type, a well-known fixed point theorem in cones, and ... See full document

... This paper proposes an analytical procedure for the nonlinear singular boundary value problem that arises in biology and in the study of some diseases. As a first step, we present a constructive proof of the ... See full document