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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.

Sequences of iterates of random-valued vector functions and continuous solutions of a linear functional equation of infinite order

Kapica R.

Bulletin of the Polish Academy of Sciences. Mathematics

2002

Vol. 50, no 4

447-455

Given a probability space (Ω, A, P), a separable Banach space X, and measurable functions L: Ω → (0, +∞), M: Ω → X we obtain some theorems on the existence and on the uniqueness of continuous solutions φ: X → R of the equation φ (x) = ∫Ω φ (L(ω) x + M (ω)) P (dω).