Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations
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A01=S. Koksal
A01=V. Lakshmikantham
applied mathematics research
Author_S. Koksal
Author_V. Lakshmikantham
Caratheodory Functions
Category=PBKJ
Category=PBW
Category=PHU
Compact Embedding
Comparison Theorem
Elliptic BVPs
Em Arks
eq_bestseller
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eq_isMigrated=2
eq_nobargain
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Hyperbolic Differential Equations
Impulsive Differential Equations
Laplace Invariants
Lebesgue's Dominated Convergence Theorem
Lebesgue’s Dominated Convergence Theorem
Linear BVPs
Lipschitz Continuous
Lower Solution
mathematical modelling
Maximal Solution
Monotone Character
Monotone Iterative Technique
Monotone Sequences
nonlinear analysis
nonlinear boundary value problems
Ordinary Differential Equations
Parabolic IBVP
Parabolic Initial Boundary
partial differential systems
Single Lyapunov Function
Special Test Function
stability theory
Uniformly Bounded
Unique Weak Solution
variational methods
Vector Lyapunov Functions
Weak Solution
Product details
- ISBN 9780415305280
- Weight: 716g
- Dimensions: 174 x 246mm
- Publication Date: 27 Feb 2003
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
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A monotone iterative technique is used to obtain monotone approximate solutions that converge to the solution of nonlinear problems of partial differential equations of elliptic, parabolic and hyperbolic type. This volume describes that technique, which has played a valuable role in unifying a variety of nonlinear problems, particularly when combined with the quasilinearization method. The first part of this monograph describes the general methodology using the classic approach, while the second part develops the same basic ideas via the variational technique. The text provides a useful and timely reference for applied scientists, engineers and numerical analysts.
Lakshmikantham, V.; Koksal, S.
