A Semidiscrete Approximation Scheme for Neutral Delay-differential Equations
نویسنده
چکیده
We consider an approximation scheme for systems of linear delay-differential equations of neutral type. The finite dimensional approximating systems are constructed with basis functions defined using linear splines, extending to neutral equations a scheme which had previously been defined only for retarded equations. A Trotter-Kato semigroup convergence result is proved, and numerical results are given to illustrate the qualitative behavior of the scheme.
منابع مشابه
Existence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay
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