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Delay Differential Evolutions Subjected to Nonlocal Initial Conditions
Contributor(s): Burlică, Monica-Dana (Author), Necula, Mihai (Author), Roșu, Daniela (Author)
ISBN: 1498746446     ISBN-13: 9781498746441
Publisher: CRC Press
OUR PRICE:   $190.00  
Product Type: Hardcover - Other Formats
Published: June 2016
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Temporarily out of stock - Will ship within 2 to 5 weeks
Additional Information
BISAC Categories:
- Mathematics | Differential Equations - General
- Mathematics | Applied
- Mathematics | Calculus
Dewey: 515.625
LCCN: 2016006757
Series: Monographs and Research Notes in Mathematics
Physical Information: 362 pages
 
Descriptions, Reviews, Etc.
Publisher Description:

Filling a gap in the literature, Delay Differential Evolutions Subjected to Nonlocal Initial Conditions reveals important results on ordinary differential equations (ODEs) and partial differential equations (PDEs). It presents very recent results relating to the existence, boundedness, regularity, and asymptotic behavior of global solutions for differential equations and inclusions, with or without delay, subjected to nonlocal implicit initial conditions.

After preliminaries on nonlinear evolution equations governed by dissipative operators, the book gives a thorough study of the existence, uniqueness, and asymptotic behavior of global bounded solutions for differential equations with delay and local initial conditions. It then focuses on two important nonlocal cases: autonomous and quasi-autonomous. The authors next discuss sufficient conditions for the existence of almost periodic solutions, describe evolution systems with delay and nonlocal initial conditions, examine delay evolution inclusions, and extend some results to the multivalued case of reaction-diffusion systems. The book concludes with results on viability for nonlocal evolution inclusions.