... distributional and impulsive. Dif-
ferential equations, initial and boundary conditions and impulses may depend function-
ally on the unknown function and/ or on its derivatives, and may contain discontinuous
nonlinearities. ... 2011:24
http://www.boundaryvalueproblems.com/content/2011/1/24
Page 18 of 19
RESEARCH Open Access
On singular nonlinear distributional an...
... various boundary conditions should be considered.
Solving corresponding boundary value problems, one can obtain the expression of deflection
curve. It is the key in design of constants of beams and ... Pino and Man
´
asevich, Gupta, and Pao
showed the existence of positive solution for
u
iv
t
f
t, u
t
,u
t
1.3
under some growth conditions of f and a non...
... distribution, and reproduction in
any medium, provided the original work is properly cited.
1. Introduction
Multipoint boundary value problems BVPs for second-order differential equations in a
finite ... following conditions hold:
a M is uniformly bounded in C
∞
0, ∞;
b the functions from M are equicontinuous on any compact interval of 0, ∞;
c the functions from M are equi...
... orthogonal polynomials are the
same. this is an isometry situation. According to the constructions of the two different types
of moments, namely, on the one, hand side, the moments of type μ
n
and on ... ×L
2
T
∗
.
Hence we come to the conclusion that in case of the separation ansatz for the
Schr
¨
odinger equation, the following rationale applies:
The solutions of a Schr
¨
odinger equ...
... (1.1). The proofs are based on
the Leray-Schauder continuation theorem [5] and the nonlinear alternative of Leray-
Schauder type [6].
4 Boundary Value Problems
By condition (2.1), we have
x
(t)
≤
t
0
p(s)x ... continuation theorem and the nonlinear alternative of Leray-Schauder
type, the existence of a solution for an m-point boundary value problem with impul...
... non-negative solutions for nonlinear equations in the semi-
positone case,” in Proceedings of the Oujda International Conference on Nonlinear Analysis (Oujda 2005),
vol. 14 of Electronic Journal of ... there were only a
few papers on discrete semipositone problems. One can refer to 16–18. In these papers,
semipositone discrete boundary value problems with one parameter were disc...
... are based on
the Leray-Schauder continuation theorem [5] and the nonlinear alternative of Leray-
Schauder type [6].
2 Boundary Value Problems
In order to define the concept of solution for BVP ... O’Regan, and P. J. Y. Wong, Positive Solutions of Differential, Difference and
Integral Equations, Kluwer Academic, Dordrecht, The Netherlands, 1999.
[7] D. D. Ba
˘
ınov and P. S. Simeo...
... Inequalities and Applications 2011, 2011:111
http://www.journalofinequalitiesandapplications.com/content/2011/1/111
Page 5 of 9
RESEARC H Open Access
On the maximum modulus of a polynomial and
its ... a polynomial and its polar derivative. Journal of
Inequalities and Applications 2011 2011:111.
Submit your manuscript to a
journal and benefi t from:
7 Convenient online submission
7...