On blow-up conditions for solutions of higher order differential inequalities

For differential inequalities of the form (Formula presented.) where (Formula presented.) and b are some functions, we obtain conditions guaranteeing that any solution is identically equal to zero. We construct examples which show that the obtained conditions are sharp. © 2018 Informa UK Limited, trading as Taylor & Francis Group

Authors
Kon’kov A.A.1 , Shishkov A.E. 2, 3
Journal
Applicable Analysis
Language
English
Pages
1-10
Status
Published
Link
External link
DOI
10.1080/00036811.2018.1434151
Year
2018
Organizations
  • 1 Faculty of Mechanics and Mathematics, Department of Differential Equations, Moscow Lomonosov State University, Moscow, Russia
  • 2 Center of Nonlinear Problems of Mathematical Physics, RUDN University, Moscow, Russia
  • 3 Institute of Applied Mathematics and Mechanics of NAS of Ukraine, Slavyansk, Ukraine
Keywords
entire solutions; Higher order differential inequalities; nonlinear inequalities
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