Construction of upper and lower solutions for singular discrete initial and boundary value problems via inequality theory.

Lü, Haishen; O'Regan, Donal

Displaying similar documents to “Construction of upper and lower solutions for singular discrete initial and boundary value problems via inequality theory.”

Existence theory for single and multiple solutions to semipositone discrete Dirichlet boundary value problems with singular dependent nonlinearities.

Jiang, Daqing, Zhang, Lili, O&#039;Regan, Donal, Agarwal, Ravi P. (2003)

Journal of Applied Mathematics and Stochastic Analysis

Similarity:

Positive symmetric solutions of singular semipositone boundary value problems.

Rudd, Matthew, Tisdell, Christopher C. (2009)

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

Similarity:

Positive solutions of a singular positone and semipositone boundary value problems for fourth-order difference equations.

Yuan, Chengjun (2010)

Discrete Dynamics in Nature and Society

Similarity:

Existence of nonnegative solutions of singular boundary-value problems for second-order ordinary differential equations.

Yakovlev, M.N. (2005)

Zapiski Nauchnykh Seminarov POMI

Similarity:

Multiple positive solutions of singular discrete $p$ -Laplacian problems via variational methods.

Agarwal, Ravi P., Perera, Kanishka, O'Regan, Donal (2005)

Advances in Difference Equations [electronic only]

Similarity:

Existence and uniqueness of solutions for boundary value problems to the singular one-dimension $p$ -Laplacian.

Lin, Xiaoning, Sun, Weizhi, Jiang, Daqing (2008)

Boundary Value Problems [electronic only]

Similarity:

Multiple positive solutions to singular boundary value problems for superlinear second order FDEs

Daqing Jiang (2000)

Annales Polonici Mathematici

Similarity:

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.

Boundary value problems for a class of singular second order differential equation.

Zhou, Wen-Shu (2007)

Applied Mathematics E-Notes [electronic only]

Similarity:

Multipoint boundary value problems for discrete equations

Pavel Drábek, Harold Bevan Thompson, Christopher Tisdell (2001)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

In this work we establish existence results for solutions to multipoint boundary value problems for second order difference equations with fully nonlinear boundary conditions involving two, three and four points. Our results are also applied to systems.

Existence theory for single and multiple solutions to singular positone discrete Dirichlet boundary value problems to the one-dimension $p$ -Laplacian

Daqing Jiang, Li Li Zhang, Donal O&#039;Regan, Ravi P. Agarwal (2004)

Archivum Mathematicum

Similarity:

In this paper we establish the existence of single and multiple solutions to the positone discrete Dirichlet boundary value problem $\{\begin{matrix} Δ [φ (Δ u (t - 1))] + q (t) f (t, u (t)) = 0, t \in {1, 2, \dots, T} \\ u (0) = u (T + 1) = 0, \end{matrix}$ where $φ (s) = {| s |}^{p - 2} s$ , $p > 1$ and our nonlinear term $f (t, u)$ may be singular at $u = 0$ .