Nonoscillation and Oscillation Theory for Functional Differential Equations
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A01=Martin Bohner
A01=Ravi P. Agarwal
A01=Wan-Tong Li
advanced mathematics
Author_Martin Bohner
Author_Ravi P. Agarwal
Author_Wan-Tong Li
banach
Banach Space
Banach's Contraction Mapping Principle
Banach’s Contraction Mapping Principle
Category=PBKF
Category=PBKJ
Compact Subinterval
Conjoined Basis
delay
Delay Differential Equation
Emden Fowler Type
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
fixed
Fixed Point Theorem
functional analysis
Lebesgue's Dominated Convergence Theorem
Lebesgue’s Dominated Convergence Theorem
Lim Inf
Lim Inft
Lim Supt
linear
Linear Delay Differential Equation
Linear Hamiltonian System
Locally Convex Space
mathematical modeling
Neutral Delay Differential Equation
Neutral Differential Equations
nonlinear systems
nonoscillatory
Nonoscillatory Solution
normed
Normed Linear Space
Ordinary Differential Equations
Oscillation Criteria
oscillation theory in applied science
point
Positive Constant C1
Positive Solution
S1 T1
Schauder's Fixed Point Theorem
Schauder’s Fixed Point Theorem
solutions
space
stability theory
theorem
time scales calculus
Tn T0
Product details
- ISBN 9780824758455
- Weight: 657g
- Dimensions: 161 x 232mm
- Publication Date: 30 Aug 2004
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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This book summarizes the qualitative theory of differential equations with or without delays, collecting recent oscillation studies important to applications and further developments in mathematics, physics, engineering, and biology. The authors address oscillatory and nonoscillatory properties of first-order delay and neutral delay differential equations, second-order delay and ordinary differential equations, higher-order delay differential equations, and systems of nonlinear differential equations. The final chapter explores key aspects of the oscillation of dynamic equations on time scales-a new and innovative theory that accomodates differential and difference equations simultaneously.
Agarwal, Ravi P.; Bohner, Martin; Li, Wan-Tong
