Multiple positive solutions of a boundary value problem for ordinary differential equations.
Multiple positive solutions of a nonlinear four-point singular boundary value problem with a -Laplacian operator on time scales.
Multiple positive solutions of a nonlinear fourth order periodic boundary value problem
The fourth order periodic boundary value problem , 0 < t < 2π, with , i = 0,1,2,3, is studied by using the fixed point index of mappings in cones, where F is a nonnegative continuous function and 0 < m < 1. Under suitable conditions on F, it is proved that the problem has at least two positive solutions if m ∈ (0,M), where M is the smallest positive root of the equation tan mπ = -tanh mπ, which takes the value 0.7528094 with an error of .
Multiple positive solutions of a singular Emden-Fowler type problem for second-order impulsive differential systems.
Multiple positive solutions of a singular fractional boundary value problem.
Multiple positive solutions of fourth-order four-point boundary-value problems with changing sign coefficient.
Multiple positive solutions of fourth-order impulsive differential equations with integral boundary conditions and one-dimensional -Laplacian.
Multiple positive solutions of nonlinear singular -point boundary value problem for second-order dynamic equations with sign changing coefficients on time scales.
Multiple positive solutions of some Fredholm integral equations arisen from nonlocal boundary-value problems.
Multiple positive solutions of Sturm-Liouville equations with singularities.
Multiple positive solutions of the singular boundary value problem for second-order impulsive differential equations on the half-line.
Multiple positive solutions to fourth-order singular boundary-value problems in abstract spaces.
Multiple positive solutions to multipoint one-dimensional -Laplacian boundary value problem with impulsive effects
In this paper, using a fixed point theorem on a convex cone, we consider the existence of positive solutions to the multipoint one-dimensional -Laplacian boundary value problem with impulsive effects, and obtain multiplicity results for positive solutions.
Multiple positive solutions to singular boundary value problems for superlinear second order FDEs
We study the existence of positive solutions to the singular boundary value problem for a second-order FDE ⎧ u'' + q(t) f(t,u(w(t))) = 0, for almost all 0 < t < 1, ⎨ u(t) = ξ(t), a ≤ t ≤ 0, ⎩ u(t) = η(t), 1 ≤ t ≤ b, where q(t) may be singular at t = 0 and t = 1, f(t,u) may be superlinear at u = ∞ and singular at u = 0.
Multiple positive symmetric solutions to -Laplacian dynamic equations on time scales.
Multiple reciprocity method for plate bending vibration, sound pressure vibration and coupled structural-acoustic problems
Multiple sign-changing solutions for some m-point boundary-value problems.
Multiple sign-changing solutions for sub-linear impulsive three-point boundary-value problems.
Multiple solutions for a nonlinear second order differential equation
Multiple solutions for a system of boundary value problems.