Solutions approaching polynomials at infinity to nonlinear ordinary differential equations

Simple item page
dc.contributor.authorPhilos, Christos G.
dc.contributor.authorTsamatos, P. Ch.
dc.date.accessioned2021-05-28T19:37:25Z
dc.date.available2021-05-28T19:37:25Z
dc.date.issued2005-07-11
dc.description.abstractThis paper concerns the solutions approaching polynomials at ∞ to n-th order (n > 1) nonlinear ordinary differential equations, in which the nonlinear term depends on time t and on x, x', ..., x(N), where x is the unknown function and N is an integer with 0 ≤ N ≤ n - 1. For each given integer m with max{1, N} ≤ m ≤ n - 1, conditions are given which guarantee that, for any real polynomial of degree at most m, there exists a solution that is asymptotic at ∞ to this polynomial. Sufficient conditions are also presented for every solution to be asymptotic at ∞ to a real polynomial of degree at most n - 1. The results obtained extend those by the authors and by Purnaras [25] concerning the particular case N = 0.
dc.description.departmentMathematics
dc.formatText
dc.format.extent25 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationPhilos, C. G., & Tsamatos, P. C. (2005). Solutions approaching polynomials at infinity to nonlinear ordinary differential equations. <i>Electronic Journal of Differential Equations, 2005</i>(79), pp. 1-25.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13680
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectNonlinear differential equations
dc.subjectAsymptotic properties
dc.subjectAsymptotic expansions
dc.subjectAsymptotic to polynomials solutions
dc.titleSolutions approaching polynomials at infinity to nonlinear ordinary differential equations
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
philos.pdf
Size:
329.61 KB
Format:
Adobe Portable Document Format
Description:
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.54 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Electronic Journal of Differential Equations