On nonlinear evolution equation of second order in Banach spaces

On nonlinear evolution equation of second order in Banach spaces

Here 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 equati...

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Veröffentlicht in:Open mathematics (Warsaw, Poland) Poland), 2018-03, Vol.16 (1), p.268-275
1. Verfasser: Soltanov, Kamal N.
Format: Artikel
Sprache:eng
Schlagworte:
35L65
46T20
47J35
58J45
Abstract nonlinear equation
Banach spaces
Behavior
Nonlinear differential equations
Nonlinear evolution equations
Solvability
Traffic flow
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Beschreibung
Zusammenfassung:Here 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.
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2018-0023