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Chandrasekhar quadratic and cubic integral equations via Volterra-Stieltjes quadratic integral equation

El-Sayed Ahmed M. A., Omar Yasmin M. Y.

Demonstratio Mathematica

2021

Vol. 54, nr 1

25--36

In this work, we study the existence of one and exactly one solution x ∈ C[0, 1], for a delay quadratic integral equation of Volterra-Stieltjes type. As special cases we study a delay quadratic integral equation of fractional order and a Chandrasekhar cubic integral equation.

A note on the order of polynomial-like iterative equations

Draga S.

Commentationes Mathematicae

2016

Vol 56, No. 2

243--249

We show that, under reasonable assumptions, two negative roots can be eliminated from the characteristic equation of a polynomial-like iterative equation. This result gives a new case where we may lower the order of such an equation.

On a composite functional equation

Matkowski J., Okrzesik J.

Demonstratio Mathematica

2003

Vol. 36, nr 3

653--658

We determine all continuous functions f : (0, oo) ->(0,oo) satisfying the functional equation f(xG(f(x)))=f(x)G(f(x)) where G is continuous and strictly increasing function such that 1 e G((0, oo)).