Monotone technique to the initial values problem for a delay integral equation from biomathematics

3 years ago

Abstract

We present a constructive method for solving (1)-(2) under hypotheses (i)-(iv) by assuming that function \(f(t,x)\) is monotone with respect to \(x\). The novelty of this paper is that we adapt the monotone technique to the case of anti-isotone operators, particularly when \(f(t,x)\) is a function nondecreasing in \(x\).

Authors

Radu Precup
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania

Keywords

?

Paper coordinates

R. Precup, Monotone technique to the initial values problem for a delay integral equation from biomathematics, Studia Univ. Babeş-Bolyai Math. 40 (1995) no. 2, 63-73.

PDF

https://ictp.acad.ro/wp-content/uploads/2022/08/1995-Precup-Monotone-technique-to-the-initial-values-problem-for-a-delay-integral-equation-from-biomathematics.pdf

http://www.cs.ubbcluj.ro/~studia-m/old_issues/subbmath_1995_40_02.pdf

About this paper

Journal

Studia Universitatis ”Babes-Bolyai”, Mathematica

Publisher Name

”Babes-Bolyai” University

DOI

http://www.cs.ubbcluj.ro/~studia-m/old_issues/subbmath_1995_40_02.pdf

Print ISSN

Online ISSN

??

MR: 98a:34067

google scholar link

1995