Bibliographic Details
| Title: |
Characterizing Function Behavior: Exponential Decay, Monotonicity, and Boundedness Through Schwarzian and Differential Inequalities. |
| Authors: |
Tarek, Bahloul1 bahloul.tarek@univguelma.dz |
| Source: |
IAENG International Journal of Applied Mathematics. Jul2026, Vol. 56 Issue 7, p2728-2738. 11p. |
| Subjects: |
Differential inequalities, Functional equations, Monotonic functions, Exponential decay law, Dynamical systems, Differential invariants |
| Abstract: |
We construct a positive unimodal function g(t) satisfying the functional relationguarantees that g(t) possesses a negative Schwarzian derivative. This study provides new insights into the structural properties of such functions and their interdependencies, with direct implications for the analysis of differential equations and dynamical systems. The framework developed here offers a systematic approach for generating novel classes of functional equations, thereby advancing both theoretical understanding and potential applications in mathematical modeling. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
