Two theorems on the complex oscillation theory of non-homogeneous linear differential equations
โ Scribed by Gao Shi-an
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 463 KB
- Volume
- 162
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We treat the linear differential equation ) f q A z f s 0, where k P 2 is ลฝ . ลฝ . an integer and A z is a transcendental entire function of order A . It is shown ลฝ . ลฝ . ลฝ . ลฝ . that any non-trivial solution of the equation ) satisfies f P A , where f is the exponent of convergence of the zero-sequ
Let f , f be two linearly independent solutions of the linear differential 1 2 ## ลฝ . ลฝ . equation f ะ q A z f s 0, where A z is transcendental entire, and assume that the exponents of convergence for the zero-sequences of f , f satisfy 1 2 ลฝ ลฝ . ลฝ .. max f , f s ฯฑ. Our main result proves that th
In a previous paper (1) 3 an analysis of the d-c. series generator-separately excited motor oscillator was presented without the solution of non-linear differential equation developed for the analysis. The equation was a modification of the well known Van der Pol equation with an extra term of the f
Baesch Results in Math. 29, 1996, 42แ55 has given a characterization of homogeneous linear differential equations with certain analytic periodic coefficients which admits a solution with finite exponent of convergence. However, her method seems too general and in most cases too complicated for appli