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Physical Sciences and Mathematics

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Theses/Dissertations

1974

<p>Exterior differential systems<br />Functional analysis<br />Domains of holomorphy</p>

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Solvability Of Differential Systems Near Singular Points, Leon M. Hall Jan 1974

Solvability Of Differential Systems Near Singular Points, Leon M. Hall

Doctoral Dissertations

"Functional analysis techniques are used to prove a theorem, analogous to the Harris-Sibuya-Weinberg theorem for ordinary differential equations, which yields as corollaries a number of existence theorems for holomorphic solutions of linear functional differential systems of the form zDy'(z) = A(z)y(z) + B(z)y(αz) + C(z)y'(αz) in the neighborhood of the singularity at z = 0"--Abstract, page 2.