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On nonlinear evolution equation of second order in Banach spaces

On nonlinear evolution equation of second order in Banach spaces AbstractHere we study the existence of a solution and also the behavior of the existing solution of the abstract nonlinear differential equation of second order that, in particular, is the nonlinear hyperbolic equation with nonlinear main parts, and in the special case, is the equation of the type of equation of traffic flow. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Open Mathematics de Gruyter

On nonlinear evolution equation of second order in Banach spaces

Open Mathematics , Volume 16 (1): 8 – Mar 31, 2018

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Publisher
de Gruyter
Copyright
© 2018 Soltanov, published by De Gruyter
ISSN
2391-5455
eISSN
2391-5455
DOI
10.1515/math-2018-0023
Publisher site
See Article on Publisher Site

Abstract

AbstractHere we study the existence of a solution and also the behavior of the existing solution of the abstract nonlinear differential equation of second order that, in particular, is the nonlinear hyperbolic equation with nonlinear main parts, and in the special case, is the equation of the type of equation of traffic flow.

Journal

Open Mathematicsde Gruyter

Published: Mar 31, 2018

Keywords: Abstract nonlinear equation; Solvability; Behavior; 46T20; 47J35; 35L65; 58J45

References