Periodic solutions for neutral nonlinear differential equations with functional delay.
Exponential analysis of solutions of functional differential equations with unbounded terms.
Positive periodic solutions of nonlinear functional difference equations.
Positive solutions of three-point nonlinear second order boundary value problem.
Positive periodic solutions of functional discrete systems and population models.
Exponential stability of dynamic equations on time scales.
Periodicity and stability in neutral nonlinear dynamic equations with functional delay on a time scale.
Boundedness in functional dynamic equations on time scales.
Eigenvalue problems for a three-point boundary-value problem on a time scale.
Periodicity and stability in neutral nonlinear differential equations with functional delay.
Existence, uniqueness and constructive results for delay differential equations.
Impulsive dynamic equations on a time scale.
Necessary and sufficient conditions for stability of Volterra integro-dynamic equation on time scales
In this research we establish necessary and sufficient conditions for the stability of the zero solution of scalar Volterra integro-dynamic equation on general time scales. Our approach is based on the construction of suitable Lyapunov functionals. We will compare our findings with known results and provides application to quantum calculus.
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