Solving nonlinear boundary value problems using He's polynomials and Padé approximants.
Some compactness methods in the theory of nonlinear evolution equations with applications to P.D.E.
Some fixed point theorems in locally convex spaces and applications to differential and integral equations
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....
Some remarks on the intervals of stability of Runge-Kutta methods after Richardson extrapolation
Special solutions of the Riccati equation with applications to the Gross-Pitaevskii nonlinear PDE.
Stability and B-Convergence of Linearly Implicit Runge-Kutta Methods.
Stability and boundedness properties of solutions to certain fifth order nonlinear differential equations
Stability and correctness of abstract differential equations in Hilbert spaces
Stability, boundedness and asymptotic behaviour of solutions of certain nonlinear differential equations of the third order
Stability of Caputo fractional differential equations by Lyapunov functions
The stability of the zero solution of a nonlinear nonautonomous Caputo fractional differential equation is studied using Lyapunov-like functions. The novelty of this paper is based on the new definition of the derivative of a Lyapunov-like function along the given fractional equation. Comparison results using this definition for scalar fractional differential equations are presented. Several sufficient conditions for stability, uniform stability and asymptotic uniform stability, based on the new...
Stability of periodic solutions in extended Gierer-Meinhardt model.
Stabilization of nonlinear systems by similarity transformations.
Star algebra and Green functions of nonlinear differential equations
Steady state response of a nonlinear system.
Stetige Abhängigkeit von einem Parameter für ein Differentialgleichungssystem mit Impulsen
Sufficient conditions for the oscillation of -th order nonlinear delay differential equation
Sufficient conditions for two-dimensional point dissipative nonlinear systems.
Superlinear singular problems on the half line.
Sur l'équation de Lamé