On monotonic solutions of some integral equations

J. Caballero; Donal O'Regan; K. B. Sadarangani

Skip to main content (access key 's'), Skip to navigation (access key 'n'), Accessibility information (access key '0')

Displaying similar documents to “On monotonic solutions of some integral equations”

On monotonic solutions of an integral equation of Abel type

Mohamed Abdalla Darwish (2008)

Mathematica Bohemica

Similarity:

We present an existence theorem for monotonic solutions of a quadratic integral equation of Abel type in $C [0, 1]$ . The famous Chandrasekhar’s integral equation is considered as a special case. The concept of measure of noncompactness and a fixed point theorem due to Darbo are the main tools in carrying out our proof.

On the Volterra integral equation with weakly singular kernel

Stanisław Szufla (2006)

Mathematica Bohemica

Similarity:

We give sufficient conditions for the existence of at least one integrable solution of equation $x (t) = f (t) + \int_{0}^{t} K (t, s) g (s, x (s)) d s$ . Our assumptions and proofs are expressed in terms of measures of noncompactness.

Existence theory for integrodifferential equations and Henstock-Kurzweil integral in Banach spaces.

Sikorska-Nowak, Aneta (2007)

Journal of Applied Mathematics

Similarity:

On the structure of the solution set of a functional-differential system on an unbounded interval

Zbyněk Kubáček (1999)

Archivum Mathematicum

Similarity:

It is proved that under some conditions the set of all solutions of an initial value problem for $n$ -th order functional differential system on an unbounded interval is a compact $R_{δ}$ .