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- W289486136 abstract "This chapter describes the stability of a nonlinear Volterra equation. The stability and asymptotic of the identically zero solution of the scalar Volterra equation , where ' = d / dt , denoted by (1.1), on the interval 0 t . Equation (1.1) arises in several applications and has been studied by Levin and Nohel under hypotheses that are considerably more restrictive than required, both with respect to the positivity of a ( t ) and the smoothness of g ( x ) and f ( t , x ). The generalization is possible because of results concerning the behavior of solutions of the equation (1.1) when ƒ ( t, x ) is independent of x and in L 1 / (0 , ∞ ) with respect to t . The method used to study the equation (1.1) combines energy functions with the frequency domain method." @default.
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- W289486136 date "1976-01-01" @default.
- W289486136 modified "2023-09-27" @default.
- W289486136 title "Stability of a Nonlinear Volterra Equation" @default.
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- W289486136 doi "https://doi.org/10.1016/b978-0-12-164902-9.50062-9" @default.
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