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Comparison ODE theorems related to the method of lines
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Henryk Leszczyński
Published/Copyright:
June 2, 2011
Abstract
We prove a comparison theorem for an ODE and DAE system which arises from the method of lines. Under a Perron comparison condition on the functional dependence and a specific Lipschitz and (W+) condition on the classical argument, we obtain strong uniqueness criteria.
Received: 2010-02-23
Revised: 2010-07-12
Accepted: 2010-07-14
Published Online: 2011-06-02
Published in Print: 2011-June
© de Gruyter 2011
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Articles in the same Issue
- Semiinfinite multiobjective fractional programming, part II: Duality models
- Wavelet characterization of Sobolev spaces with variable exponent
- Structure of the fixed point set of asymptotically nonexpansive mappings in Banach spaces with weak uniformly normal structure
- Masas in the Calkin algebra without the Continuum Hypothesis
- Existence and uniqueness results of some fractional boundary value problem
- Set-valued variational-like inclusions with H -η-accretive operators in Banach spaces
- On semi-invariant submanifolds of a nearly Sasakian manifold admitting a semi-symmetric non-metric connection
- An estimate for the distance of a complex valued Sobolev function defined on the unit disc to the class of holomorphic functions
- Comparison ODE theorems related to the method of lines
