Nodal solutions of second-order two-point boundary value problems

Global Structure of Nodal Solutions for Second-Order m-Point Boundary Value Problems with Superlinear Nonlinearities

SPECTRAL PROPERTIES AND NODAL SOLUTIONS FOR SECOND-ORDER, m-POINT, p-LAPLACIAN BOUNDARY VALUE PROBLEMS

We consider the m-point boundary value problem consisting of the equation −φp(u) = f(u), on (0, 1), (1) together with the boundary conditions u(0) = 0, u(1) = m−2 X

SPECTRAL PROPERTIES AND NODAL SOLUTIONS FOR SECOND-ORDER, m-POINT, BOUNDARY VALUE PROBLEMS

We consider the m-point boundary value problem consisting of the equation −u′′ = f(u), on (0, 1), where f : R → R is C1, with f(0) = 0, together with the boundary conditions u(0) = 0, u(1) = m−2 X

Existence of positive solutions for fourth-order boundary value problems with three- point boundary conditions

In this work, by employing the Krasnosel'skii fixed point theorem, we study the existence of positive solutions of a three-point boundary value problem for the following fourth-order differential equation begin{eqnarray*} left { begin{array}{ll} u^{(4)}(t) -f(t,u(t),u^{prime prime }(t))=0 hspace{1cm} 0 leq t leq 1, & u(0) = u(1)=0, hspace{1cm} alpha u^{prime prime }(0) - beta u^{prime prime pri...

Nodal Solutions for a Class of Fourth-Order Two-Point Boundary Value Problems

We consider the fourth-order two-point boundary value problem u′′′′ Mu λh t f u , 0 < t < 1, u 0 u 1 u′ 0 u′ 1 0, where λ ∈ R is a parameter, M ∈ −π4, π4/64 is given constant, h ∈ C 0, 1 , 0,∞ with h t /≡ 0 on any subinterval of 0, 1 , f ∈ C R,R satisfies f u u > 0 for all u/ 0, and limu→−∞f u /u 0, limu→ ∞f u /u f ∞, limu→ 0f u /u f0 for some f ∞, f0 ∈ 0, ∞ . By using disconjugate operator the...