On a “Liapunov like” function for an equation with a complex-valued function
On a Theorem of Gundersen and Laine.
On algebraic sets invariant by one-dimensional foliations on
We consider the problem of extending the result of J.-P. Jouanolou on the density of singular holomorphic foliations on without algebraic solutions to the case of foliations by curves on . We give an example of a foliation on with no invariant algebraic set (curve or surface) and prove that a dense set of foliations admits no invariant algebraic set.
On asymptotic integrations of
On bang-bang principles in linear-quadratic control problems for generalized analytic functions
On Briot-Bouquet Differential Equations and a Question of Einar Hille.
On Certain Properties of Soloutions of Second-Order Linear Differential Equations.
On Clenshaws's Method and a Generalisation to Faber Series.
On differential euqations and functional equations.
On Floquet eigenvalue problems for first order differential systems in the complex domain.
On index theorems for linear ordinary differential operators
We introduce and study the sheaf of Deligne to describe singular points of a linear differential operator and we develop a technique based on homological algebra to prove index theorems for .As particular cases, we obtain index theorems for acting in spaces of multisummable series and a new proof of the index theorem of Malgrange in the space of convergent power series and of the index theorems of Ramis in the spaces of Gevrey series.We compute the values of these indices in terms of the formal...
On oscillation, continuation, and asymptotic expansions of solutions of linear differential equations
On sectorial solutions οf ordinary differential equations
On solutions of differential equations with ``common zero'' at infinity
The zeros of the solution of the differential equation are investigated when , and has some monotonicity properties as . The notion is introduced also for real, too. We are particularly interested in solutions which are “close" to the functions , when is large. We derive a formula for and apply the result to Bessel differential equation, where we introduce new pair of linearly independent solutions replacing the usual pair , . We show the concavity of for and also...
On some generalizations of the Malmquist theorem.
On the growth of algebroid solutions of algebraic differential equations.
On the location of zeros of solutions of non-homogeneous linear differential equations
On the Order of Growth of Meromorphic Solutions of First-Order Differential Equations.
On the periodic solutions of linear homogeneous systems of differential equations.
On the Value Distribution Theory of Elliptic Functions.