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Growth and Lδ-approximation of solutions of the Helmholtz equation in a finite disk
-
Devendra Kumar
and
Anindita Basu
Published/Copyright:
October 14, 2014
Abstract
In this paper we study the growth and Lδ-approximation, 1 ≤ δ ≤ ∞, of solutions (not necessarily entire) of Helmholtz-type equations. Moreover, we obtain the characterization of order and type of H ∈ HR, 0 < R < ∞, in terms of decay of approximation errors En(H,R0) and
The authors are very much thankful to the referees for giving fruitful comments to improve the paper.
Received: 2013-1-14
Revised: 2013-3-3
Accepted: 2013-11-21
Published Online: 2014-10-14
Published in Print: 2014-12-1
© 2014 by De Gruyter
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- Hille–Wintner type comparison criteria for the half-linear differential equations of third order
- Para-CR structures on almost paracontact metric manifolds
- Growth and Lδ-approximation of solutions of the Helmholtz equation in a finite disk
- Products of Świątkowski and quasi-continuous functions
- q-nonuniform difference linear control systems
- Existence results for the Dirichlet problem of some degenerate nonlinear elliptic equations
- Wolfe-type second-order fractional symmetric duality
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Articles in the same Issue
- Frontmatter
- Hille–Wintner type comparison criteria for the half-linear differential equations of third order
- Para-CR structures on almost paracontact metric manifolds
- Growth and Lδ-approximation of solutions of the Helmholtz equation in a finite disk
- Products of Świątkowski and quasi-continuous functions
- q-nonuniform difference linear control systems
- Existence results for the Dirichlet problem of some degenerate nonlinear elliptic equations
- Wolfe-type second-order fractional symmetric duality
- On nonlinear mixed fractional integrodifferential equations with nonlocal condition in Banach spaces
