Browsing by Subject "linear differential equation"

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    • Description of growth and oscillation of solutions of complex LDE’s 

      Chyzhykov, Igor; Gröhn, Janne; Heittokangas, Janne; Rättyä, Jouni (Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc, 2022)
      It is known that, in the unit disc as well as in the whole complex plane, the growth of the analytic coefficients A0,…,Ak−2 of f(k)+Ak−2f(k−2)+⋯+A1f′+A0f=0,k⩾2, determines, under certain growth restrictions, not only the ...

    • Dual exponential polynomials and a problem of Ozawa 

      Heittokangas, Janne; Ishizaki, Katsuya; Tohge, Kazuya; Wen, Zhi-Tao (Cambridge University Press (CUP), 2021)
      Complex linear differential equations with entire coefficients are studied in the situation where one of the coefficients is an exponential polynomial and dominates the growth of all the other coefficients. If such an ...
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    • Irregular finite order solutions of complex LDE's in unit disc 

      Chyzhykov, Igor; Filevych, Petro; Gröhn, Janne; Heittokangas, Janne; Rättyä, Jouni (Elsevier Masson SAS, 2022)
      It is shown that the order and the lower order of growth are equal for all non-trivial solutions of f (k) + Af = 0 if and only if the coefficient A is analytic in the unit disc and log+ M (r, A)/ log(1 − r) tends to a ...

    • Lower order and Baker wandering domains of solutions to differential equations with coefficients of exponential growth 

      Korhonen, Risto; Wang, Jun; Ye, Zhuan (Elsevier BV, 2019)
      We investigate transcendental entire solutions of complex differential equations f″+ A(z)f = H(z), where the entire function A(z) has a growth property similar to the exponential functions, and H(z) is an entire function ...
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