Startseite Mathematik Linear directional differential equations in the unit ball: solutions of bounded L-index
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Linear directional differential equations in the unit ball: solutions of bounded L-index

  • Andriy Bandura EMAIL logo und Oleh Skaskiv
Veröffentlicht/Copyright: 5. Oktober 2019
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Mathematica Slovaca
Aus der Zeitschrift Mathematica Slovaca Band 69 Heft 5

Abstract

We study sufficient conditions of boundedness of L-index in a direction b ∈ ℂn ∖ {0} for analytic solutions in the unit ball of a linear higher order non-homogeneous differential equation with directional derivatives. These conditions are restrictions by the analytic coefficients in the unit ball of the equation. Also we investigate asymptotic behavior of analytic functions of bounded L-index in the direction and estimate its growth. The results are generalizations of known propositions for entire functions of several variables.

MSC 2010: Primary 32A05; 32A10; Secondary 32A22; 35G35; 32A40; 32W50
Keywords: analytic function; unit ball; bounded L-index in direction; slice function; partial derivative; linear higher order partial differential equation; growth estimate

  1. (Communicated by Michal Fečkan)

References

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Received: 2018-12-26
Accepted: 2019-02-12
Published Online: 2019-10-05
Published in Print: 2019-10-25

© 2019 Mathematical Institute Slovak Academy of Sciences

Artikel in diesem Heft

  1. Regular papers
  2. Professor Anatolij Dvurečenskij
  3. A generating theorem of punctured surface triangulations with inner degree at least 4
  4. Natural extension of EF-spaces and EZ-spaces to the pointfree context
  5. On weak isometries in directed groups
  6. On self-injectivity of the f-ring Frm(𝓟(ℝ), L)
  7. On the extensions of discrete valuations in number fields
  8. On certain classes of generalized derivations
  9. Nilpotent elements in medial semigroups
  10. Power of meromorphic function sharing polynomials with derivative of it’s combination with it’s shift
  11. Sharp coefficient bounds for starlike functions associated with the Bell numbers
  12. Sufficient conditions for Carathéodory functions and applications to univalent functions
  13. Blending type approximation by complex Szász-Durrmeyer-Chlodowsky operators in compact disks
  14. Linear directional differential equations in the unit ball: solutions of bounded L-index
  15. On oscilatory fourth order nonlinear neutral differential equations – IV
  16. Oscillation criteria for second-order half-linear delay differential equations with mixed neutral terms
  17. Lerch’s theorem on nabla time scales
  18. IK-convergence of sequences of functions
  19. Convolution theorems related with the solvability of Wiener-Hopf plus Hankel integral equations and Shannon’s sampling formula
  20. Stabilization of third order differential equation by delay distributed feedback control with unbounded memory
  21. On the amenability of a class of Banach algebras with application to measure algebra
  22. A bivariate Kumaraswamy-exponential distribution with application
  23. Berry-Esseen bounds for wavelet estimator in time-varying coefficient models with censored dependent data
  24. Corrigendum to ”on the congruent number problem over integers of cyclic number fields”, Math. Slovaca 66(3) (2016), 561–564
https://doi.org/10.1515/ms-2017-0292
Schlagwörter für diesen Artikel
analytic function; unit ball; bounded L-index in direction; slice function; partial derivative; linear higher order partial differential equation; growth estimate

Artikel in diesem Heft

  1. Regular papers
  2. Professor Anatolij Dvurečenskij
  3. A generating theorem of punctured surface triangulations with inner degree at least 4
  4. Natural extension of EF-spaces and EZ-spaces to the pointfree context
  5. On weak isometries in directed groups
  6. On self-injectivity of the f-ring Frm(𝓟(ℝ), L)
  7. On the extensions of discrete valuations in number fields
  8. On certain classes of generalized derivations
  9. Nilpotent elements in medial semigroups
  10. Power of meromorphic function sharing polynomials with derivative of it’s combination with it’s shift
  11. Sharp coefficient bounds for starlike functions associated with the Bell numbers
  12. Sufficient conditions for Carathéodory functions and applications to univalent functions
  13. Blending type approximation by complex Szász-Durrmeyer-Chlodowsky operators in compact disks
  14. Linear directional differential equations in the unit ball: solutions of bounded L-index
  15. On oscilatory fourth order nonlinear neutral differential equations – IV
  16. Oscillation criteria for second-order half-linear delay differential equations with mixed neutral terms
  17. Lerch’s theorem on nabla time scales
  18. IK-convergence of sequences of functions
  19. Convolution theorems related with the solvability of Wiener-Hopf plus Hankel integral equations and Shannon’s sampling formula
  20. Stabilization of third order differential equation by delay distributed feedback control with unbounded memory
  21. On the amenability of a class of Banach algebras with application to measure algebra
  22. A bivariate Kumaraswamy-exponential distribution with application
  23. Berry-Esseen bounds for wavelet estimator in time-varying coefficient models with censored dependent data
  24. Corrigendum to ”on the congruent number problem over integers of cyclic number fields”, Math. Slovaca 66(3) (2016), 561–564
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