Holomorphic solutions to linear first-order functional differential equations.
Integral representation of a solution of Heun's general equation.
Interaction between coefficient conditions and solution conditions of differential equations in the unit disk.
Iterated order of solutions of linear differential equations with entire coefficients.
Meromorphic Solutions of Higher Order System of Algebraic Differential Equations.
Note on the uniqueness of a global positive solution to the second Painlevé equation.
On a problem in complex oscillation theory of periodic second order linear differential equations and some related perturbation results.
On an ODE Relevant for the General Theory of the Hyperbolic Cauchy Problem
2000 Mathematics Subject Classification: 34E20, 35L80, 35L15.In this paper we study an ODE in the complex plane. This is a key step in the search of new necessary conditions for the well posedness of the Cauchy Problem for hyperbolic operators with double characteristics.
On analytic and meromorphic functions satisfying nth order algebraic differential equations in regions of the plane.
On commuting differential operators.
On commuting matrix differential operators.
On meromorphic solutions of a certain class of functional-differential equations
On Meromorphic Solutions of First-Order Differential Equations
On meromorphic solutions of the Riccati differential equations
We investigate the growth and Borel exceptional values of meromorphic solutions of the Riccati differential equation w' = a(z) + b(z)w + w², where a(z) and b(z) are meromorphic functions. In particular, we correct a result of E. Hille [Ordinary Differential Equations in the Complex Domain, 1976] and get a precise estimate on the growth order of the transcendental meromorphic solution w(z); and if at least one of a(z) and b(z) is non-constant, then we show that w(z)...
On subnormal solutions of periodic differential equations.
On the existence of meromorphic solutions of differential equations having arbitarily rapid growth.
On the growth and factorization of entire solutions to algebraic differential equations.
On the growth of an algebroid function with radially distributed values
We investigate how the growth of an algebroid function could be affected by the distribution of the arguments of its a-points in the complex plane. We give estimates of the growth order of an algebroid function with radially distributed values, which are counterparts of results for meromorphic functions with radially distributed values.
On the growth of meromorphic solutions of linear and algebraic differential equations.
On the hyper order of solutions of a class of higher order linear differential equations.