Sufficient conditions for existence and nonuniqueness of positive solutions of the singular boundary value problem g(x) g″(x) + h(x) = 0, -k ≤ x \u3c 1, k \u3e 0, g′(-k) = C, g(1) = 0 are obtained. Also, it is proved that the solutions with g(-k) \u3e -Ck (for C \u3c 0) and g(-k) \u3e ( k 2) √ -2h(-k) (for C \u3e 0) are unique. Furthermore, it is shown numerically that for h(x) = x there are exactly two Solutions for the problem. © 1991
AbstractThe paper presents sufficient conditions for the existence of positive solutions of the equa...
By use of the concavity of solution for an associate boundary value problem, existence criteria of p...
AbstractThis paper presents two sufficient conditions which guarantee the existence and uniqueness o...
AbstractSufficient conditions for existence and nonuniqueness of positive solutions of the singular ...
AbstractThe singular nonlinear boundary value problem [equation] arises in the boundary layer theory...
AbstractFor a class of problems of the form y″=g(t,y)f(y′),0<t<1,y′(0)=m⩽0, y(1)=0, we prove existen...
AbstractWe examine the existence of solutions of the class of singular nonlinear two-point boundary ...
AbstractFor a given positive integer N, we provide conditions on the nonlinear function f which guar...
summary:In this note we consider the boundary value problem $y''=f(x,y,y')$ $\,(x\in [0,X];X>0)$, $y...
AbstractIt is proved that the singular third-order boundary value problem y‴ = f(y), y(0) = 0, y(+∞)...
The singular nonlinear three-point boundary value problems −(Lu)(t) = h(t)f (u(t)), 0 < t < 1...
AbstractIn this paper some existence results of positive solutions for the following singular nonlin...
AbstractThe purpose of this paper is to establish sufficient conditions for the existence and unique...
Abstract. Sufficient conditions for the existence of positive solutions for a coupled system of nonl...
AbstractLet a ϵ C[0,1], b ϵ C([0,1], (−∞,0]). Let d ϵ R and d > 0. Let φ1(t) be the unique solution ...
AbstractThe paper presents sufficient conditions for the existence of positive solutions of the equa...
By use of the concavity of solution for an associate boundary value problem, existence criteria of p...
AbstractThis paper presents two sufficient conditions which guarantee the existence and uniqueness o...
AbstractSufficient conditions for existence and nonuniqueness of positive solutions of the singular ...
AbstractThe singular nonlinear boundary value problem [equation] arises in the boundary layer theory...
AbstractFor a class of problems of the form y″=g(t,y)f(y′),0<t<1,y′(0)=m⩽0, y(1)=0, we prove existen...
AbstractWe examine the existence of solutions of the class of singular nonlinear two-point boundary ...
AbstractFor a given positive integer N, we provide conditions on the nonlinear function f which guar...
summary:In this note we consider the boundary value problem $y''=f(x,y,y')$ $\,(x\in [0,X];X>0)$, $y...
AbstractIt is proved that the singular third-order boundary value problem y‴ = f(y), y(0) = 0, y(+∞)...
The singular nonlinear three-point boundary value problems −(Lu)(t) = h(t)f (u(t)), 0 < t < 1...
AbstractIn this paper some existence results of positive solutions for the following singular nonlin...
AbstractThe purpose of this paper is to establish sufficient conditions for the existence and unique...
Abstract. Sufficient conditions for the existence of positive solutions for a coupled system of nonl...
AbstractLet a ϵ C[0,1], b ϵ C([0,1], (−∞,0]). Let d ϵ R and d > 0. Let φ1(t) be the unique solution ...
AbstractThe paper presents sufficient conditions for the existence of positive solutions of the equa...
By use of the concavity of solution for an associate boundary value problem, existence criteria of p...
AbstractThis paper presents two sufficient conditions which guarantee the existence and uniqueness o...