Research Interests
My research focuses on differential equations, nonlinear analysis, and mathematical models of population dynamics. My previous work includes fractional differential equations and boundary value problems, with particular emphasis on Green’s functions, Vallée-Poussin theorems, Lyapunov-type inequalities, and existence results using coincidence degree theory, including problems at resonance. I also study periodic solutions and stability in ecological and epidemiological models.
My current interests broadly concern the qualitative behaviour of differential equations and their applications. I am interested in exploring new questions in differential equations and developing methods to address them.