[PDF] Top 20 Positive solutions for nonlinear singular boundary value problems on the half line

... where a > 0, b ≥ 0, k ≥ 0, μ > 0, f (t, x, z) is singular at x = 0 and z = 0 and may change sign. Our result establishes this existence for sufficiently small values of μ and with relatively few conditions on ... See full document

... multi-point boundary value problems arising from applied mathematics and physics have received a great deal of attention in the literature (for instance, [1]-[4] and references ...countable ... See full document

... Multipoint boundary value problems BVPs for second-order differential equations in a finite interval have been studied extensively and many results for the existence of solutions, ... See full document

... In this section, we establish some new existence results for the singular fractional differ- ential equation (.)-(.). We always assume that f : [, ] × (, ∞) → [, ∞) is continuous in this section. Given a ∈ ... See full document

... multiple positive solutions to positone and semipositone Dirichlet-type BVP ...of positive solutions are obtained by means of the fixed point theory in ... 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 singular ... See full document

... In this section, we deal with a special case of the problem (.). The method is just simi- lar to what we have done in Section , so we omit the proof of some main results of the section. Case F(t, x(t), x (t)) = f (t, ... See full document

... R˘adulescu, Singular Elliptic Problems: Bifurcation and Asymptotic Analysis, ...of Nonlinear Equations and Unilateral Problems, Encyclopedia of Mathematics and Its Applications, ... See full document

... of positive solutions for boundary value problems of Riemann–Liouville type or Caputo type fractional differential equations; see ... See full document

... The aim of this paper is to give the conditions on the function f in 1.1 which gua- rantee that the singular problem 1.1, 1.2 has a solution. The existence results are proved by regularization and sequential ... 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 ... See full document

... a positive solution y of ...is positive on some subinterval of [, ...or half-closed finite or infinite ...the nonlinear term, our current work naturally generalizes and extends the known ... 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

... Boundary value problems on half-line occur in various applications such as in the study of the unsteady flow of a gas through semi-infinite porous medium, in analyzing the heat transfer ... See full document

... Fourth-order nonlinear differential equations have many applications such as balancing condition of an elastic beam which may be described by nonlinear fourth-order ordinary differential ...for ... See full document

... With appropriate boundary value conditions, the existence of positive solution of equa- tion () is significant and helpful. The Liebau phenomenon, which is in honor of the physi- cian Liebauh’s ... See full document

... nonlocal boundary value prob- lems of fractional differential equations; see [–] and ...of positive solutions for the following fractional differential ... 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] ...general nonlinear multi-point ... See full document

... one positive solution to the BVP ...the nonlinear functional H(φ (y)) satisfies a certain asymptotic behavior, then the BVP ...of positive solutions for nonlocal boundary-value ... See full document

... Singular nonlinear boundary value problems for higher order ordinary differential equations, Nonlin.. Singular boundary value problems, Bull.[r] ... See full document