Multiple symmetric positive solutions for a second order boundary value problem

By J. Henderson, H. Thompson. 2000

189 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/bfb34ebadfb2f1436d0dfe828604263dc9f85523

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Diego Averna
2. Gabriele Bonanno
3. Yongping Sun
4. Man Kam Kwong
5. Richard Avery
6. John R. Graef
7. John M. Davis
8. J. Henderson

In Computational Theory and Mathematics

1. Diego Averna
2. Man Kam Kwong
3. Gabriele Bonanno
4. Richard Avery
5. John M. Davis
6. Patricia J. Y. Wong
7. Yongping Sun
8. John R. Graef

Citations in the corpus

• Existence of three positive pseudo-symmetric solutions for a one dimensional p-Laplacian (2003, methodology): “[1] gives a good overview of much of this work, and the works by Avery [2] and Henderson and Thompson [8] also contribute nice applications of the Leggett–Williams theorem.”
• An exploration of combined dynamic derivatives on time scales and their applications (2006, background): “Many important mathematical models in science and engineering applications can be reduced to nonhomogeneous two-point boundary problems [6,9,16,17].”
• Multiple symmetric positive solutions of a class of boundary value problems for higher order ordinary differential equations (2002, background): “MR 95f:34023 [10] J. Henderson and H. B. Thompson, Multiple symmetric positive solutions for a second order boundary value problem, Proc.”
• Positive solutions of singular third-order three-point boundary value problem ✩ (2005, background): “Handerson and Thompson [4] studied the multiple symmetric positive solutions for a second order boundary value problem.”
• Positive Solutions to a Singular Third-Order Three-Point Boundary Value Problem (2009, background): “Handerson and Thompson [3] studied the multiple symmetric positive solutions for a second order boundary value problem.”
• A three critical points theorem and its applications to the ordinary Dirichlet problem (2003, background): “The key assumption in [10] is (see (iii) in Theorem 2 of [ 11 ]) (HT) there exist b > 0 and 0 < e < 12 such that f(y) ‚ 2b e(1 i 2e) for every”
• General Lidstone problems : Multiplicity and symmetry of solutions (2000, methodology): “J. Henderson and H. B. Thompson, Multiple symmetric positive solutions for a second order boundary value problem, Proc.”
• The Existence and Multiplicity of Positive Solutions for a Third-order Three-point Boundary Value Problem (2003, unknown): “3+ √ 3 ,q 0 = 3+ √ 3 2 η − 1+ √ 3 2 p0. In [ 2 ], J. Henderson and H.B.”
• Existence of Solutions for a One Dimensional p-Laplacian on Time-Scales (2004, unknown): “[2], as well as the papers [1], [10], [12], [13], [18], [26], [27], and [30].”
• The shooting method and multiple solutions of two/multi-point BVPs of second-order ODE (2006, methodology): “The exact values of these constants are not quoted here.”