Existence and uniqueness of solutions for quasi-linear differential equations with deviating arguments

Existence and uniqueness of solutions for quasi-linear differential equations with deviating arguments

We prove the existence and uniqueness of a local solution to a quasi-linear differential equation of parabolic type with deviated argument in an arbitrary Banach space. The results are obtained by applying the Sobolevskii-Tanabe theory of parabolic equations, fractional powers of operators, and...

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Bibliographic Details
Main Authors: Rajib Haloi, Dhirendra Bahuguna, Dwijendra N. Pandey
Format: Article
Language:English
Published: Texas State University 2012-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Analytic semigroup
parabolic equation
deviated argument
Banach fixed point theorem
Online Access:http://ejde.math.txstate.edu/Volumes/2012/13/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2012/13/abstr.html

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