Second-order differential equations with deviating arguments.
Smooth and discrete systems -- algebraic, analytic, and geometrical representations.
Solution of a polylocal problem using Tchebychev polynomials.
Solving an inverse Sturm-Liouville problem by a Lie-group method.
Solving ratio-dependent predator-prey system with constant effort harvesting using homotopy perturbation method.
Some nonlinear and nonlocal Sturm-Liouville problems motivated by the problem of flutter.
Some remarks on Nagumo's theorem
We provide a simpler proof for a recent generalization of Nagumo’s uniqueness theorem by A. Constantin: On Nagumo’s theorem. Proc. Japan Acad., Ser. A 86 (2010), 41–44, for the differential equation , and we show that not only is the solution unique but the Picard successive approximations converge to the unique solution. The proof is based on an approach that was developed in Z. S. Athanassov: Uniqueness and convergence of successive approximations for ordinary differential equations. Math....
Steady state response of a nonlinear system.
Studies on the differential equations of enzyme kinetics. I. Bimolecular scheme: simplified model.
Studies on the differential equations of enzyme kinetics. II: Bimolecular reaction: The fitting of experimental data to the simplified model.
Successive iteration and positive solutions for nonlinear -point boundary value problems on time scales.
Sufficient conditions for the oscillation of the solutions to a class of impulsive differential equations with advanced argument.
Sur la possibilité d'intégrer complètement un système donné d'équations différentielles
Sur l'application des méthodes d'approximations successives à l'étude des intégrales réelles des équations différentielles ordinaires
Sur l'existence de la solution d'une équation différentielle à argument accéléré