Properties of Third-Order Nonlinear Functional Differential Equations with Mixed Arguments

Author

Baculíková, B.

Source

Abstract and Applied Analysis

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-15, 15 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-03-16

Country of Publication

Egypt

No. of Pages

15

Main Subjects

Mathematics

Abstract EN

The aim of this paper is to offer sufficient conditions for property (B) and/or the oscillation of the third-order nonlinear functional differential equation with mixed arguments [a(t)[x′′(t)]γ]′=q(t)f(x[τ(t)])+p(t)h(x[σ(t)]).

Both cases ∫∞a−1/γ(s)ds=∞ and ∫∞a−1/γ(s)ds<∞ are considered.

We deduce properties of the studied equations via new comparison theorems.

The results obtained essentially improve and complement earlier ones.

American Psychological Association (APA)

Baculíková, B.. 2011. Properties of Third-Order Nonlinear Functional Differential Equations with Mixed Arguments. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-503859

Modern Language Association (MLA)

Baculíková, B.. Properties of Third-Order Nonlinear Functional Differential Equations with Mixed Arguments. Abstract and Applied Analysis No. 2011 (2011), pp.1-15.
https://search.emarefa.net/detail/BIM-503859

American Medical Association (AMA)

Baculíková, B.. Properties of Third-Order Nonlinear Functional Differential Equations with Mixed Arguments. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-503859

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-503859