PageHeader : Funkcialaj Ekvacioj 18 (1975) 107-162
Title : Some Integral-functional Equations
AuthorInfo : By M. KWAPISZ and J. TURO
AuthorInfo : (University of Gdansk and Technical University of Gdansk, Poland)
section : Contents
section : Introduction
section : Chapter 1. The General Functional Equation
subsection : 1. 1. Assumptions and Lemmas
subsection : 1.2. Theorem on the existence and uniqueness
subsection : 1.3. Remarks on others conditions providing the existence of a solu- tion of equation (1)
subsection : 1. 4. Approximate iterations
subsection : 1.5. Remarks on operators of some particular form
section : Chapter 2. Integral-functional Equation with an Unknown Function of Two Variables
subsection : 2. 1. The main Lemma
subsection : 2. 2. Some remarks and further Lemmas
subsection : 2.3. Theorem on the existence and convergence of successive approxi- mations
subsection : 2.4 Continuous dependence of the solution on the right-hand side of equation (29).
section : Chapter 3. Integral-functional Equation in a Banach Space with a Generalized Norm
subsection : 3. 1. Lemmas and some remarks
subsection : 3. 2. The main Theorem
subsection : 3.3. Approximate iterations for equation (44)
section : Chapter 4. Integral-functional Equation with an Unknown Function of n Variables
subsection : 4. 1. The main Lemma and some remarks
subsection : 4.2. Theorem on the existence and uniqueness of solution of equation
subsection : 4.3. Theorem on the continuous dependence of the solution on the right- hand side of equation (47)
section : Chapter 5. Some Generalizations of the Results from Chapter 4.
subsection : 5. 1. Some Lemmas
subsection : 5. 2. Theorem on the existence, uniqueness and convergence of succes- sive approximations for equation (70).
subsection : 5.3. Approximate iterations for equation (70)
section : References