Positive solutions of four-point boundary-value problems for four-order -Laplacian dynamic equations on time scales.
Positive solutions of nonlinear -point boundary-value problem for -Laplacian dynamic equations on time scales.
Principal and nonprincipal solutions of symplectic dynamic systems on time scales.
Principe de Boyarsky et ...-modules.
Properties of differences of meromorphic functions
Let be a transcendental meromorphic function. We propose a number of results concerning zeros and fixed points of the difference and the divided difference .
-dominant and -recessive matrix solutions for linear quantum systems.
Quantum Painlevé equations: from continuous to discrete.
Quasi-adjoint third order difference equations: Oscillatory and asymptotic behavior.
Quasi-Fibonacci numbers of order 11.
Recent results concerning dynamic equations on time scales.
Reducibility and stability results for linear system of difference equations.
Reducible Linear Difference Operators
Reduction of the modified Poincaré differential equation to Birkhoff matrix form.
Regularization of one class of difference equations.
Results on the deficiencies of some differential-difference polynomials of meromorphic functions
In this paper, we study the relation between the deficiencies concerning a meromorphic function f(z), its derivative f′(z) and differential-difference monomials f(z)mf(z+c)f′(z), f(z+c)nf′(z), f(z)mf(z+c). The main results of this paper are listed as follows: Let f(z) be a meromorphic function of finite order satisfying lim sup r→+∞ T(r, f) T(r, f ′ ) <+∞, and c be a non-zero complex constant, then δ(∞, f(z)m f(z+c)f′(z))≥δ(∞, f′) and δ(∞,f(z+c)nf′(z))≥ δ(∞, f′). We also investigate the value...
Resurgence relations for classes of differential and difference equations
Second order linear difference equations over discrete Hardy fields
We shall investigate the properties of solutions of second order linear difference equations defined over a discrete Hardy field via canonical valuations.
Séries de -factorielles, opérateurs aux -différences et confluence
Sets of -recurrence but not -recurrence
For every , we produce a set of integers which is -recurrent but not -recurrent. This extends a result of Furstenberg who produced a -recurrent set which is not -recurrent. We discuss a similar result for convergence of multiple ergodic averages. We also point out a combinatorial consequence related to Szemerédi’s theorem.
S-hermitian boundary-value problems for difference systems.