Holomorphic solutions of singular functional differential equations

DOI10.1016/0022-247X(75)90015-3zbMath0306.34009MaRDI QIDQ1217928

S. Singh

Publication date: 1975

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05) Ordinary differential equations in the complex domain (34M99)

Related Items

Asymptotic behavior of solutions of a singular Cauchy problem for a functional-differential equation, Logarithmic solutions of linear differential systems with a singularity of the first kind† ‡, Families of regular solutions of singular systems, On singular functional-differential equations, An alternative theorem for singular differential systems, Fredholm mappings and solutions of linear differential equations at singular points, The number of analytic solutions of a singular differential system, Qualitative investigation of a singular Cauchy problem for a functional differential equation, Laplace integrals and factorial series in singular functional differential systems

Cites Work

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• Holomorphic solutions of linear differential systems at singular points
• Characterizations of linear differential systems with a regular singular point
• The functional-differential equation $y'\left( x \right) = ay\left( {\lambda x} \right) + by\left( x \right)$
• Holomorphic Solutions of Functional Differential Systems Near Singular Points
• On the Regular Solutions at a Point of Singularity of a System of Non-Linear Differential Equations