Positive Solutions for the nth-Order Delay Differential System with Multi-Parameter

Qiu Ying Lu; Wei Peng Zhang

doi:10.4028/www.scientific.net/AMM.50-51.185

Paper Titles

A Small-World Model of Scale-Free Networks: Features and Verifications
p.166

The Design of E-Yuan Home Multimedia System
p.171

Strongly Ding Projective, Injective and Flat Modules
p.176

Incomplete Concept Lattice Data Analytical Method Research Based on Rough Set Theory
p.180

Positive Solutions for the nth-Order Delay Differential System with Multi-Parameter
p.185

Least Squares Skew Bisymmetric Solution for a Kind of Quaternion Matrix Equation
p.190

Study on the Adaptability of Staining Method for Acoustic Field Measuring in Ultrasonic Processing
p.195

Simulations of Natural Vibration Characteristics of Large-Size Radial Gate with Three Arms Considering Fluid-Solid Coupling
p.200

The Influence of the Voltage Slope to the Homogeneous Multiple-Pulse Barrier Discharge at Atmospheric Pressure
p.205

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 50-51Positive Solutions for the nth-Order Delay...

Positive Solutions for the nth-Order Delay Differential System with Multi-Parameter

Abstract:

In this paper, we are concerned with the existence of positive solutions for the nonlinear eigenvalue problem of the nth-order delay di erential system. The main results in this paper generalize some of the existing results in the literature. Our proofs are based on the well-known Guo-Krasnoselskii xed-point theorem. Three main results are given out, the rst two of which refer to the existence while the last one not only guarantees to its existence but also is pertinent to its multiplicity.

You might also be interested in these eBooks

Intelligent Structure and Vibration Control

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 50-51)

Pages:

185-189

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.50-51.185

Citation:

Cite this paper

Online since:

February 2011

Authors:

Qiu Ying Lu, Wei Peng Zhang

Keywords:

Boundary Value Problem, Cone Fixed-Point Theorem, Nonlinear ntH-Order Delay Differential Systems, Positive Solution

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] P. W. Eloe and J. Henderson, Positive solutions for (n-1, n) conjugate boundary value problems, Nonl. Anal. TMA. 28 (1997), 1669-1680.

DOI: 10.1016/0362-546x(95)00238-q

Google Scholar

[2] D. G. De Figueiredo, P. L. Lions and R. D. Nussbaum, A priori estimates and existence of positive solutions of semilinear elliptic equations, J. Math. Pure. Appl. 61 (1982), 41-63.

DOI: 10.1007/978-3-319-02856-9_11

Google Scholar

[3] H. J. Kuiper, On positive solutions of nonlinear elliptic eigenvalue problems, Rc. Mat. Circ. Palermo II (II) (1979), 113-138.

DOI: 10.1007/bf02844166

Google Scholar

[4] L. Sanchez, Positive solutions for a class of semilinear two-point boundary value problems, Bull. Aust. Math. Soc. 45 (1992), 439-451.

DOI: 10.1017/s0004972700030331

Google Scholar

[5] D. Guo, V. Lakshmikantham, Nonlinear Problems in Abstract Cones, New York: Academic Press, (1988).

Google Scholar

[6] Q. Lu, D. Zhu, Positive solutions for an nth-order delay differential equation, Journal of East China Normal University (Nat. Sci. Edi. ), 5 (2007), 20-33.

Google Scholar

[7] W. Coppel, Disconjugacy, Lecture Notes in Mathematics, Springer: Berlin, Vol. 220, (1971).

Google Scholar