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Displaying 61 – 80 of 108

Multiple positive solutions of a nonlinear fourth order periodic boundary value problem

Lingbin Kong, Daqing Jiang (1998)

Annales Polonici Mathematici

The fourth order periodic boundary value problem $u^{(4)} - m ⁴ u + F (t, u) = 0$ , 0 < t < 2π, with $u^{(i)} (0) = u^{(i)} (2 π)$ , 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 $\pm 10^{- 7}$ .

Multiple positive solutions of a singular Emden-Fowler type problem for second-order impulsive differential systems.

Lee, Eun Kyoung, Lee, Yong-Hoon (2011)

Boundary Value Problems [electronic only]

Multiple positive solutions of a singular fractional boundary value problem.

Xu, Jiafa, Yang, Zhilin (2010)

Applied Mathematics E-Notes [electronic only]

Multiple positive solutions of fourth-order four-point boundary-value problems with changing sign coefficient.

Fang, Zheng, Li, Chunhong, Bai, Chuanzhi (2008)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Multiple positive solutions of fourth-order impulsive differential equations with integral boundary conditions and one-dimensional $p$ -Laplacian.

Feng, Meiqiang (2011)

Boundary Value Problems [electronic only]

Multiple positive solutions of nonlinear singular $m$ -point boundary value problem for second-order dynamic equations with sign changing coefficients on time scales.

Xu, Fuyi (2010)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Multiple positive solutions of some Fredholm integral equations arisen from nonlocal boundary-value problems.

Karakostas, G.L., Tsamatos, P.Ch. (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Multiple positive solutions of Sturm-Liouville equations with singularities.

Wang, Zenggui, Liu, Lishan, Wu, Yonghong (2006)

Discrete Dynamics in Nature and Society

Multiple positive solutions of the singular boundary value problem for second-order impulsive differential equations on the half-line.

Xiao, Jing, Nieto, Juan J., Luo, Zhiguo (2010)

Boundary Value Problems [electronic only]

Multiple positive solutions to fourth-order singular boundary-value problems in abstract spaces.

Liu, Yansheng (2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Multiple positive solutions to multipoint one-dimensional $p$ -Laplacian boundary value problem with impulsive effects

Yuansheng Tian, Anping Chen, Weigao Ge (2011)

Czechoslovak Mathematical Journal

In this paper, using a fixed point theorem on a convex cone, we consider the existence of positive solutions to the multipoint one-dimensional $p$ -Laplacian boundary value problem with impulsive effects, and obtain multiplicity results for positive solutions.

Currently displaying 61 – 80 of 108

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Displaying 61 – 80 of 108

Multiple positive solutions of a nonlinear fourth order periodic boundary value problem

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 $p$ -Laplacian.

Multiple positive solutions of nonlinear singular $m$ -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 $p$ -Laplacian boundary value problem with impulsive effects

Multiple positive symmetric solutions to $p$ -Laplacian dynamic equations on time scales.

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 $(n_{i} p_{i})$ boundary value problems.

Multiple solutions for fourth order $m$ -point boundary value problems with sign-changing nonlinearity.

Multiple solutions of a third order boundary value problem

Multiple solutions of generalized multipoint conjugate boundary value problems.

Multiple solutions of nonlinear boundary value problems and topological degree

Currently displaying 61 – 80 of 108