Estimates of solutions for parabolic differential and difference functional equations and applications

Lucjan Sapa

doi:10.7494/opmath.2012.32.3.529

Estimates of solutions for parabolic differential and difference functional equations and applications

Opuscula Mathematica ◽

10.7494/opmath.2012.32.3.529 ◽

2012 ◽

Vol 32 (3) ◽

pp. 529 ◽

Cited By ~ 1

Author(s):

Lucjan Sapa

Keyword(s):

Functional Equations ◽

Estimates Of Solutions

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Exponential estimates of solutions of linear stochastic differential functional equations

Ukrainian Mathematical Journal ◽

10.1007/bf01057387 ◽

1990 ◽

Vol 42 (10) ◽

pp. 1189-1193 ◽

Cited By ~ 4

Author(s):

I. G. Nechaeva ◽

D. Ya. Khusainov

Keyword(s):

Functional Equations ◽

Estimates Of Solutions ◽

Exponential Estimates

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On Diophantine approximations of the solutions of q-functional equations

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/s0308210502000331 ◽

2002 ◽

Vol 132 (03) ◽

pp. 639

Keyword(s):

Functional Equations ◽

Diophantine Approximations

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On some functional equations related to derivations and bicircular projections in rings

Glasnik Matematicki ◽

10.3336/gm.49.2.06 ◽

2014 ◽

Vol 49 (2) ◽

pp. 313-331

Author(s):

Maja Fošner ◽

◽

Benjamin Marcen ◽

Nejc Širovnik ◽

Joso Vukman ◽

...

Keyword(s):

Functional Equations

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Functional equations related to weightable quasi-metrics

Hacettepe Journal of Mathematics and Statistics ◽

10.15672/hjms.2015449441 ◽

2015 ◽

Vol 4 (1047) ◽

Author(s):

M.J. Campion ◽

E. Indurain ◽

G. Ochoa

Keyword(s):

Functional Equations

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Construction of Estimates of Solutions in the Model of Antitumor Immunity with Impulse Disturbances

Journal of Automation and Information Sciences ◽

10.1615/jautomatinfscien.v45.i10.90 ◽

2013 ◽

Vol 45 (10) ◽

pp. 75-82

Author(s):

Vasiliy P. Martsenyuk ◽

O. A. Bagriy-Zayats

Keyword(s):

Antitumor Immunity ◽

Estimates Of Solutions

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Solutions and Stability of Generalized Mixed Type QCA-Functional Equations in Random Normed Spaces

Annals of the Alexandru Ioan Cuza University - Mathematics ◽

10.2478/v10157-012-0047-2 ◽

2013 ◽

Vol 59 (2) ◽

pp. 299-320

Author(s):

M. Eshaghi Gordji ◽

Y.J. Cho ◽

H. Khodaei ◽

M. Ghanifard

Keyword(s):

Functional Equation ◽

General Solution ◽

Functional Equations ◽

Mixed Type ◽

Additive Functional ◽

Normed Spaces ◽

Additive Functional Equation ◽

Probabilistic Normed Spaces ◽

Random Normed Spaces ◽

Generalized Stability

Abstract In this paper, we investigate the general solution and the generalized stability for the quartic, cubic and additive functional equation (briefly, QCA-functional equation) for any k∈ℤ-{0,±1} in Menger probabilistic normed spaces.

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Identities related to special polynomials and combinatorial numbers

Filomat ◽

10.2298/fil1715833y ◽

2017 ◽

Vol 31 (15) ◽

pp. 4833-4844 ◽

Cited By ~ 2

Author(s):

Eda Yuluklu ◽

Yilmaz Simsek ◽

Takao Komatsu

Keyword(s):

Generating Functions ◽

Functional Equations ◽

Stirling Numbers ◽

Bernoulli Numbers ◽

Euler Numbers ◽

Special Polynomials ◽

Central Factorial Numbers

The aim of this paper is to give some new identities and relations related to the some families of special numbers such as the Bernoulli numbers, the Euler numbers, the Stirling numbers of the first and second kinds, the central factorial numbers and also the numbers y1(n,k,?) and y2(n,k,?) which are given Simsek [31]. Our method is related to the functional equations of the generating functions and the fermionic and bosonic p-adic Volkenborn integral on Zp. Finally, we give remarks and comments on our results.

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