Positive solutions of functional difference equations with -Laplacian operator.
Positive solutions of nonlinear -point boundary-value problem for -Laplacian dynamic equations on time scales.
Positive solutions of second order nonlinear difference boundary value problems.
Positive solutions of two-point right focal eigenvalue problems on time scales.
Positive solutions to a generalized second-order three-point boundary-value problem on time scales.
Positive solutions to nonlinear second-order three-point boundary-value problems for difference equation with change of sign.
Potentials unbounded below.
Power series and zeroes of trinomial equations.
Power series and zeroes of trinomial equations. (Summary).
Poznámka o řadách arithmetických
Practical Ulam-Hyers-Rassias stability for nonlinear equations
In this paper, we offer a new stability concept, practical Ulam-Hyers-Rassias stability, for nonlinear equations in Banach spaces, which consists in a restriction of Ulam-Hyers-Rassias stability to bounded subsets. We derive some interesting sufficient conditions on practical Ulam-Hyers-Rassias stability from a nonlinear functional analysis point of view. Our method is based on solving nonlinear equations via homotopy method together with Bihari inequality result. Then we consider nonlinear equations...
Principal and nonprincipal solutions of symplectic dynamic systems on time scales.
Principe de Boyarsky et ...-modules.
Příspěvek k theorii determinantů
Probability distribution solutions of a general linear equation of infinite order
Let (Ω,,P) be a probability space and let τ: ℝ × Ω → ℝ be strictly increasing and continuous with respect to the first variable, and -measurable with respect to the second variable. We obtain a partial characterization and a uniqueness-type result for solutions of the general linear equation in the class of probability distribution functions.
Probability distribution solutions of a general linear equation of infinite order, II
Let (Ω,,P) be a probability space and let τ: ℝ × Ω → ℝ be a mapping strictly increasing and continuous with respect to the first variable, and -measurable with respect to the second variable. We discuss the problem of existence of probability distribution solutions of the general linear equation . We extend our uniqueness-type theorems obtained in Ann. Polon. Math. 95 (2009), 103-114.
Progress of iteration theory since 1981.
Prolongement analytique et systèmes dynamiques discrets.
We present a new method of analytic continuation of series out of their disk of convergence. We then exhibit a connection with the phenomenon of bifurcation delay in a planar discrete dynamical system; the limit of the method is then related to a stop phenomenon.
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 .
Properties of solutions to nonlinear dynamic integral equations on time scales.