Results 91 to 100 of about 920,770 (191)

On the equivalence of pre-Schröder equations [PDF]

Opuscula Mathematica, 2007
In the paper the equivalence of the system of two pre-Schröder functional equations (equations \((S_n)\), \((S_m)\) for \(m \gt n \geq 3\), \(n, m \in \mathbb{N}\)) and the whole system \((S)\), is considered.
Józef Kalinowski
doaj  

Arithmetical sequences and systems of functional equations

Aequationes Mathematicae, 1996
The author investigates the arithmetic origin and structure of functional equations of the type \[ {1\over n} \sum^{n-1}_{k=0} G(e^{2\pi ik/n}z) =\sum^\infty_{d=1} \lambda_n (d)G(z^{nd}) \] with natural \(n\) and complex \(z\), and the closely related equations \[ {1\over n} \sum^{n-1}_{k=0} F\left({x+k \over n} \right) =\sum^\infty_{d=1} \lambda_n (d ...
openaire   +2 more sources

Weighted entropies

Open Mathematics, 2010
Ebanks Bruce
doaj   +1 more source

CLOSEDNESS EQUATION FOR BIORTHOGONAL SYSTEM OF FUNCTIONS

Вестник Донского государственного технического университета, 2011
Closedness  equation for biorthogonal system of functions has been derived. Closed-loop function systems characteristics are defined. They allow to solve contact problems of elasticity theory for finite bodies – a rectangle, a circular plate, a cylinder of finite length, etc.
Nikolay A. Bazarenko, Isa M. Peshkhoyev
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On a system of functional equations

Aequationes Mathematicae, 1968
HORINOUCHI, SOICHI, Nishiyama, Akinori
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Special solutions of neutral functional differential equations

Journal of Inequalities and Applications, 2001
For a system of nonlinear neutral functional differential equations we prove the existence of an -parameter family of "special solutions" which characterize the asymptotic behavior of all solutions at infinity.
Győri István, Pituk Mihály   +1 more
doaj  

Fast Numerical Solvers for Parameter Identification Problems in Mathematical Biology. [PDF]

J Sci Comput
Benková K, Pearson JW, Ptashnyk M.
europepmc   +1 more source

Square integrable solutions and stability of a second-order stochastic integro-differential equation. [PDF]

Sci Rep
Oudjedi-Damerdji LF, Meziane M, Djidel O, Boulaaras S, Alharbi A.   +4 more
europepmc   +1 more source

On Systems of Simultaneous Functional Equations

Hiroshima Mathematical Journal, 1936
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A Physics Informed Neural Network (PINN) framework for fractional order modeling of Alzheimer's disease. [PDF]

Front Neuroinform
Mehmood A, Farman M, Afzal F, Nisar KS, Ahmed MA, Hafez M.   +5 more
europepmc   +1 more source