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 \(x\).
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania
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.
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