Publication Cover
Applicable Analysis
An International Journal
Volume 22, 1986 - Issue 2
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Original Articles

On the location of complex zeros of solutions of periodic differential equations

Pages 111-132 | Received 28 Mar 1986, Published online: 02 May 2007

References

  • 1985 . On the value-distribution theory for entire solutions of second-order linear differential equations . Proc. London Math. Soc. , 50 ( 3 ) : 505 – 534 .
  • Bank , S. 1966 . On the instability theory of differential polynomials . Ann. Mat. Pura Appl , 74 ( 3 ) : 83 – 112 .
  • Bank , S. 1968 . On solutions having large rate of growth for nonlinear differential equations in the complexdomain . J.Math.Anal.Appl. , 22 ( 3 ) : 129 – 143 .
  • Bank , S. 1967 . On the asymptotic behavior of solutions near an irregular singularity . Proc.Amer Math. Soc. , 18 ( 3 ) : 15 – 21 .
  • Bank , S. Three results in the value-distribution theory of solutions of linear differential equations , Kodai Math.J. .
  • Bank , S. and Laine , I. 1982 . On the oscillation theory of where A is entire . Trans. Amer. Math. Soc. , 273 ( 3 ) : 351 – 363 .
  • Bank , S. and Laine , I. 1983 . Representations of solutions of periodic second-order linear differential equations . J. reine angew. Math. , 344 ( 3 ) : 1 – 21 .
  • Bank , S. , Laine , I. and Langley , J. On the frequency of zeros of solutions of second-order linear differential equations , Resultate der math. .
  • Fuchs , W. 1970 . Proc. NRL Conference on classical function theory , 1 – 32 . Naval Research Laboratory .
  • Hille , E. 1924 . On the zeros of Mathieu functions . Proc. London Math. Soc , 23 ( 2 ) : 185 – 237 .
  • Hille , E. 1976 . Ordinary Differential Equations in the Complex Domain , New York : Wiley .
  • Hille , E. 1969 . Lectures on Ordinary Differential Equations , Mass : Addison-Wesley .
  • Nevanlinna , R. 1932 . Uber Riemannsche Flachen mit endlich vielen Windungspunkten . Acta Math. , 58 : 295 – 373 .
  • Strodt , W. 1954 . Contributions to the asymptotic theory of ordinary differential equations in the complex domain . Mem, Amer. Math. Soc, No , 13
  • Strodt , W. 1957 . Principal solutions of ordinary differential equations in the complex domain . Mem. Amer. Math. Soc , 26
  • Strodt , W. and Wright , R. 1971 . Asymptotic behavior of solutions and adjunction fields for nonlinear first order differential equations . Mem. Amer. Math. Soc, No , 109
  • Wittich , H. 1960 . Eindeutige Losungen der Differentialgleichung wf R(z,w) . Math. Z. , 74 : 278 – 288 .

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