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Weighted pseudo almost periodic solutions of a fractional neutral functional differential equation
Weighted pseudo almost periodic solutions fractional neutral functional differential equations Existence Banach contraction mapping theorem
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2011/10/11
In this paper, by applying the properties of weighted pseudoalmost periodic functions and Banach contraction mapping theorem, a set of sufficient conditions for the existence of weighted pseudo almost...
Existence of subharmonic periodic solutions to a class of second-ordernonlinear non-autonomous mixed-type functional differentialequations
variational structure critical points operator equations subdifferentiability subharmonic periodic solutions second-order mixed-type nonlinearfunctional differential equations
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2011/10/11
In this paper, by introducingsubdifferentiability of lower semicontinuous convex functions and the conjugate functions, as well as critical point theory and operator equations theory, we obtain multip...
Factorization of the Shoenfield-like bounded functional interpretation
Factorization Shoenfield-like bounded functional interpretation
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2010/12/3
We adapt Streicher and Kohlenbach’s proof of the factorization S = KD of the Shoenfield translation S in terms of Krivine’s negative translation K and the G¨odel functional interpretation D, obtaining...
STABILITY OF GENERAL LINEAR METHODS FOR SYSTEMS OF FUNCTIONAL-DIFFERENTIAL AND FUNCTIONAL EQUATIONS
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2007/12/12
This paper is concerned with the numerical solution of functional-differential and functional equations which include functional-differential equations of neutral type as special cases. The adaptation...
Picard–Vessiot Extensions for Linear Functional Systems
Linear functional systems Picard-Vessiot extensions Fundamental matrices Modules of formal solutions
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2013/9/3
Picard-Vessiot extensions for ordinary differential and difference equations are well known and are at the core of the associated Galois theories. In this paper,we construct fundamental matrices and P...