Oscillation Criteria for some Third-Order Linear Ordinary Differential Equations

Tadie ()
Additional contact information
Tadie: Universitet Copenhagen

Chapter Chapter 50 in Integral Methods in Science and Engineering, 2015, pp 599-605 from Springer

Abstract: Abstract In this chapter, for t > t 0 ≥ 0 we investigate in t > t 0 some oscillation criteria for problems of the type ( i ) u ‴ ( t ) + c ( t ) u ′ ( t ) + h ( t , u ) = 0 ; u ( t 0 ) = u ″ ( t 0 ) = 0 ; ( i i ) where c ∈ C 1 ( ℝ , ( 0 , ∞ ) ) , h ∈ C ( ℝ × ℝ , ℝ ) ( i i i ) with h ( . , 0 ) = 0 and ∀ s ∈ ℝ ∖ { 0 } , s h ( t , s ) > 0 . $$\displaystyle{ \left \{\begin{array}{@{}l@{\quad }l@{}} \quad &(i)\quad u'''(t) + c(t)u'(t) + h(t,u) = 0;\quad u(t_{0}) = u''(t_{0}) = 0; \\ \quad &(ii)\quad \text{where }\quad c \in C^{1}(\mathbb{R},\;(0,\;\infty )),\quad h \in C(\mathbb{R} \times \mathbb{R},\; \mathbb{R}) \\ \quad &(iii)\quad \text{ with }\;h(.,\;0) = 0\;\text{ and }\;\forall s \in \mathbb{R}\setminus \{0\},\quad sh(t,s)> 0.\\ \quad \end{array} \right. }$$

Keywords: Oscillation Criteria for Third Order ODE; Picone Type Formulas (search for similar items in EconPapers)
Date: 2015
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-16727-5_50

Ordering information: This item can be ordered from
http://www.springer.com/9783319167275

DOI: 10.1007/978-3-319-16727-5_50

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().