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 minimal periods of functional-differential equations and difference inclusions
We prove several results on lower bounds for the periods of periodic solutions of some classes of functional-differential equations in Hilbert and Banach spaces and difference inclusions in Hilbert spaces.
On minimizing the sum of squares of norms of differential operators under constraints
On monotone solutions for a nonconvex second-order functional differential inclusion.
On monotone solutions of linear advanced equations.
On monotone solutions of the fourth order ordinary differential equations
On movable singularities of self-similar solutions of semilinear wave equations
In this paper we analyze movable singularities of the solutions of the equation for self-similar profiles resulting from semilinear wave equation. We study local analytic solutions around two fixed singularity points of this equation- ρ = 0 and ρ = 1. The movable singularities of local analytic solutions at the origin will be connected with those of the Lane-Emden equation. The function describing approximately their position on the complex plane will be derived. For ρ > 1 some topological considerations...
On multiple positive solutions of positone and non-positone problems.
On multiple sign-changing solutions for some second-order integral boundary value problems.
On multipoint boundary value problems for systems of functional-differential and difference equations.
On th order differential equations over Hardy fields
On Newton's polygons, Gröbner bases and series expansions of perturbed polynomial programs
In this note we consider a perturbed mathematical programming problem where both the objective and the constraint functions are polynomial in all underlying decision variables and in the perturbation parameter ε. Recently, the theory of Gröbner bases was used to show that solutions of the system of first order optimality conditions can be represented as Puiseux series in ε in a neighbourhood of ε = 0. In this paper we show that the determination of the branching order and the order of the pole (if...
On non-absolute functional Volterra integral equations and impulsive differential equations in ordered Banach spaces.
On nonautonomous second-order differential equations on Banach space.
On noncompact perturbation of nonconvex sweeping process
We prove a theorem on the existence of solutions of a first order functional differential inclusion governed by a class of nonconvex sweeping process with a noncompact perturbation.
On noncontinuable solutions of differential equations with delay.
On nonconvex functional evolution inclusions involving -dissipative operators
On nonconvex valued Volterra integral inclusions in Banach spaces
On nondecreasing singular solutions of the Emden-Fowler equation.