Boundedness and exponential stability of solutions to dynamic equations on time scales.
Boundedness and global stability for a predator-prey system with the Beddington-DeAngelis functional response.
Boundedness and oscillatoriness of solutions of the equation y" + a(x)g(y, y') + b(x)f(y)h(y') = 0
Boundedness and square integrability of solutions of certain third-order differential equations
We establish some new sufficient conditions which guarantee the boundedness and square integrability of solutions of certain third order differential equation. Example is included to illustrate the results. By this work, we extend and improve some results in the literature.
Boundedness and stability in third order nonlinear differential equations with multiple deviating arguments
In this paper, we establish some new sufficient conditions which guarantee the stability and boundedness of solutions of certain nonlinear and non autonomous differential equations of third order with delay. By defining appropriate Lyapunov function, we obtain some new results on the subject. By this work, we extend and improve some stability and boundedness results in the literature.
Boundedness of Solutions of Certain System of Second-order Ordinary Differential Equations
We extend, in this paper, some known results on the boundedness of solutions of certain second order nonlinear scalar differential equations to system of second order nonlinear differential equations.
Bounds of the matrix eigenvalues and its exponential by Lyapunov equation
We are concerned with bounds of the matrix eigenvalues and its exponential. Combining the Lyapunov equation with the weighted logarithmic matrix norm technique, four sequences are presented to locate eigenvalues of a matrix. Based on the relations between the real parts of the eigenvalues and the weighted logarithmic matrix norms, we derive both lower and upper bounds of the matrix exponential, which complement and improve the existing results in the literature. Some numerical examples are also...