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

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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

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MR: 98a:34067

google scholar link

1995