... OF NONLOCAL
BOUNDARY VALUE PROBLEMS
PAUL W. ELOE
Received 21 October 2003 and in revised form 16 February 2004
We study a family of three-point nonlocal boundary value problems (BVPs) for an ... (2.13)
with boundary conditions (2.3). P
j
h has a generalized zero at n − (j + 2) because of the
boundary conditions. In addition, because of the nonlo...
... 2006.
[2] C. Enache and G. A. Philippin, Some maximum principles for a class of elliptic boundary value
problems, to appear in Mathematical Inequalities & Applications.
[3] E. Hopf, Elementare bemerkung
¨
uber ... independently of the boundary conditions for u(x). However,
in what follows, we will show that the maximum value of Φ(x ,a, b) must occur at a crit...
... boundary value
problems
J Caballero
*
, J Harjani and K Sadarangani
* Correspondence: fefi@dma.ulpgc.
es
Departamento de Matemáticas,
Universidad de Las Palmas de Gran
Canaria, Campus de Tafira Baja,
35017 ... article as: Caballero et al.: On existence and uniqueness of positive solutions to a class of fractional
boundary value problems. Boundary Value Problems 2011 201...
... fefi@dma.ulpgc.
es
Departamento de Matemáticas,
Universidad de Las Palmas de Gran
Canaria, Campus de Tafira Baja,
35017 Las Palmas de Gran Canaria,
Spain
Abstract
The purpose of this paper is ... article as: Caballero et al.: On existence and uniqueness of positive solutions to a class of fractional
boundary value problems. Boundary Value Problems 2011 2011:25.
Caballero et...
... the functional J and c =
J(x
0
) is a critical value of J.
Yang and Zhang Boundary Value Problems 2011, 2011:32
http://www.boundaryvalueproblems.com/content/2011/1/32
Page 2 of 8
With ε
n
↓ 0. ... problems involving p-Laplacian.
Boundary Value Problems 2011 2011:32.
Yang and Zhang Boundary Value Problems 2011, 2011:32
http://www.boundaryvalueproblems.com/content/20...
... software package Matlab 7.1.
We have dealt with the problem of global asymptotic stability analysis for a class of
nonlinear difference equation. The general sufficient conditions have been obtained ... equations appear naturally as discrete analogues and in the numerical solutions of
differential and delay differential equations, and they have applications in biology, ecology,
physics,...
... E. Bellman and R. E. Kalaba, Quasilinearization and Nonlinear Boundary- Value Problems, vol. 3 of
Modern Analytic and Computional Methods in Science and Mathematics, American Elsevier, New York,
NY, ... New York,
NY, USA, 1965.
11 V. Lakshmikantham and A. S. Vatsala, Generalized Quasilinearization for Nonlinear Problems, vol. 440 of
Mathematics and Its Applications, Kluwer Acade...
... Nakajo
2
1
Department of Mathematical and Computing Sciences, Tokyo Institute of Technology,
O-okayama, Meguro-ku, Tokyo 152-8552, Japan
2
Faculty of Engineering, Tamagawa University, Tamagawa-Gakuen, Machida-shi, ... Theory and Applications
20 T. Ibaraki, Y. Kimura, and W. Takahashi, “Convergence theorems for generalized projections and
maximal monotone operators in Banach spaces,...
... “On a hybrid method for a family of relatively nonexpansive mappings
in a Banach space,” Journal of Mathematical Analysis and Applications, vol. 357, no. 2, pp. 356–363, 2009.
9 G. Lewicki and ... theorems of a modified hybrid algorithm for a family
of quasi-φ-asymptotically nonexpansive mappings,” Journal of Computational and Applied Mathematics,
in press.
25 Y...
... existence of solutions for the boundary value problems of
fourth-order differential equations.
Because of applications in many areas for difference equations, in recent years, there
has been an increased ... and real valued for each n ∈ Z0,k 1, qn is real valued for
each n ∈ Z1,k 1
. fn, u is real-valued for each n, u ∈ Z1,k × R and continuous in the
second v...