@article{Georgiev2026, 
author = {Svetlin G. Georgiev and Safa M. Mirgani and Khaled Zennir and Keltoum Bouhali},
title = {On nonnegative classical solutions of coupled Euler–Poisson–Darboux–Tricomi equations with nonlinear sources},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {3},
pages = {5557-5574},
keywords = {Euler–Poisson–Darboux–Tricomi equations, energy and industry, nonlinear equations, classical solutions, integral representations, iterative methods},
url = {https://www.sciopen.com/article/10.3934/math.2026229},
doi = {10.3934/math.2026229},
abstract = {We study the initial value problem for a class of coupled Euler–Poisson–Darboux–Tricomi equations with nonlinear source terms. Such systems arise in fluid dynamics, plasma physics, transonic flow, and wave propagation in inhomogeneous media. Using new integral representations of the solutions and appropriate fixed point theorems in Banach spaces, we establish the existence of at least one, at least two, and at least three nonnegative classical solutions under suitable conditions on the parameters and initial data. An illustrative example is provided to demonstrate the applicability of the main results.}
}