Stability of nonlinear Volterra equations and applications. (English) Zbl 1428.45009
Summary: General nonlinear Volterra integro-differential equations are considered. Explicit criteria for uniform asymptotic stability and exponential stability of such equations are given. Applications to models of growth of biological populations and of grazing systems are presented.
MSC:
| 45J05 | Integro-ordinary differential equations |
| 34K20 | Stability theory of functional-differential equations |
| 45D05 | Volterra integral equations |
| 45M10 | Stability theory for integral equations |
Keywords:
nonlinear Volterra integro-differential equation; uniform asymptotic stability; exponential stabilityReferences:
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