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Analytic solutions of a neutral differential equation near a singular point

Author: L. J. Grimm
Journal: Proc. Amer. Math. Soc. 36 (1972), 187-190
MSC: Primary 34K05
MathSciNet review: 0318628
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Abstract: Fixed point techniques are employed to prove existence and uniqueness of a holomorphic solution to a functional differential equation of neutral type in the neighborhood of a regular singular point.

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  • [2] L. J. Grimm, On holomorphic solutions for functional and functional differential equations, Proc. Ninth Internat. Sympos. on Functional Equations, Rome, Italy, 1971.
  • [3] È. I. Grudo, On the analytic theory of ordinary differential equations with deviating argument, Differencial′nye Uravnenija 5 (1969), 700–711 (Russian). MR 0241779
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  • [6] Klaus Schmitt, On solutions of nonlinear differential equations with deviating arguments, SIAM J. Appl. Math. 17 (1969), 1171–1176. MR 0264186,

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Keywords: Singular points, neutral differential equations, analytic solutions
Article copyright: © Copyright 1972 American Mathematical Society

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