Blow up of solutions to ordinary differential equations arising in nonlinear dispersive problems

Simple item page
dc.contributor.authorDimova, Milena
dc.contributor.authorKolkovska, Natalia
dc.contributor.authorKutev, Nikolai
dc.date.accessioned2022-01-26T15:13:29Z
dc.date.available2022-01-26T15:13:29Z
dc.date.issued2018-03-14
dc.description.abstractWe study a new class of ordinary differential equations with blow up solutions. Necessary and sufficient conditions for finite blow up time are proved. Based on the new differential equation, a revised version of the concavity method of Levine is proposed. As an application we investigate the non-existence of global solutions to the Cauchy problem of Klein-Gordon, and to the double dispersive equations. We obtain necessary and sufficient condition for finite time blow up with arbitrary positive energy. A very general sufficient condition for blow up is also given.
dc.description.departmentMathematics
dc.formatText
dc.format.extent16 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationDimova, M., Kolkovska, N., & Kutev, N. (2018). Blow up of solutions to ordinary differential equations arising in nonlinear dispersive problems. Electronic Journal of Differential Equations, 2018(68), pp. 1-16.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15210
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectFinite time blow up
dc.subjectConcavity method
dc.subjectKlein-Gordon equation
dc.subjectDouble dispersive equation
dc.titleBlow up of solutions to ordinary differential equations arising in nonlinear dispersive problemsen_US
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
dimova.pdf
Size:
347.85 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