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V. Yu. Slyusarchuk

The density of the set of unsolvable Cauchy problems in the set of all Cauchy problems for an infinite-dimensional Banach space: V. Y. Slyusarchuk; Volume 5, No.1, pp. 86-89; Link PDF
Necessary and sufficient conditions for the invertibility of piecewise autonomous difference operators in the space of bounded two-sided sequences: V. Y. Slyusarchuk; Volume 23, No.1, pp. 90-111; Link PDF
Nonlinear differential equations with solutions bounded on $\mathbb{R}$: V. Y. Slyusarchuk; Volume 11, No.1, pp. 96-111; Link PDF
Counterexamples to Lyubich hypothesis on a smooth mapping: V. Y. Slyusarchuk; Volume 1, No.1, pp. 103-106; Link PDF
A locally linear approximation method for nonlinear difference operators with weakly regular operators: V. Y. Slyusarchuk; Volume 15, No.1, pp. 112-126; Link PDF
Periodic and almost periodic solutions of difference equations in metric spaces: V. Y. Slyusarchuk; Volume 18, No.1, pp. 112-119; Link PDF
Equations whose sets of solutions are invariant under a group of mappings isomorphic to a one-parameter rotation group: V. Y. Slyusarchuk; Volume 23, No.1, pp. 112-123; Link PDF
Conditions for almost periodicity of bounded solutions of nonlinear difference equations with continuous argument: V. Y. Slyusarchuk; Volume 16, No.1, pp. 118-124; Link PDF
Conditions for absolute instability of solutions of difference equations with self-adjoint operator coefficients: V. Y. Slyusarchuk and L. M. Slyusarchuk; Volume 22, No.1, pp. 118-129; Link PDF
On stability from a linear approximation: V. Y. Slyusarchuk; Volume 7, No.1, pp. 132-145; Link PDF
Almost periodic solutions of functional equations: V. Y. Slyusarchuk; Volume 19, No.1, pp. 141-148; Link PDF
Conditions for the existence of solutions of difference equations in the metric space of bounded sequences: V. Y. Slyusarchuk; Volume 26, No.1, pp. 146-154; Link
Systems with perturbations of parameters: M. O. Perestyuk and V. Y. Slyusarchuk; Volume 24, No.2, pp. 233-248; Link PDF
Mathematical model of the Solar system with account of gravitation velocity: V. Y. Slyusarchuk; Volume 21, No.2, pp. 238-261; Link PDF
On one operator equation of the theory of discrete dynamical systems: A. M. Samoilenko, V. Y. Slyusarchuk, and V. V. Slyusarchuk; Volume 2, No.2, pp. 241-251; Link PDF
Invertibility conditions for the nonlinear difference operator $(Dx)(n) = x(n+1) - f(x(n))$ in the space $l_{\infty}({\mathbb{Z}},\mathbb{R})$: V. Y. Slyusarchuk; Volume 9, No.2, pp. 244-263; Link PDF
Dynamics of two bodies with trajectories on a fixed straight line taking into account the finiteness of the speed of gravity: V. Y. Slyusarchuk; Volume 24, No.2, pp. 249-277; Link PDF
Image of bounded solutions of linear discrete equations: V. Y. Slyusarchuk; Volume 22, No.2, pp. 262-279; Link PDF
Necessary and Sufficient Conditions of the Lipschitz Invertibility of the Nonlinear Differential Operator $d/dt - f$ in the Space of Bounded Functions on the Real Axis: V. Y. Slyusarchuk; Volume 4, No.2, pp. 272-277; Link
The local linear approximation method in the theory of bounded solutions of nonlinear difference equations: V. Y. Slyusarchuk; Volume 12, No.3, pp. 368-378; Link PDF
Necessary and sufficient conditions for the nonlinear difference operator $(Dx)(t) = x(t + 1) - f(x(t))$ to be invertible in the space of functions bounded and continuous on the axis: V. Y. Slyusarchuk; Volume 5, No.3, pp. 380-386; Link PDF
Nonlinear autonomous difference operators in the space of bounded sequences that are C¹-diffeomorphisms: V. Y. Slyusarchuk; Volume 23, No.3, pp. 389-400; Link PDF
Linear functional equations with $D_h$-unstable solutions: V. Y. Slyusarchuk; Volume 22, No.3, pp. 391-397; Link PDF
Non-Keplerian behavior and instability of motion of two bodies caused by a finite velocity of gravity: V. Y. Slyusarchuk; Volume 21, No.3, pp. 397-419; Link PDF
Solvability conditions for functional equations with a differentiable λ-injective operator: V. Y. Slyusarchuk; Volume 19, No.3, pp. 399-407; Link PDF
Solvability of difference equations with nonuniformly contracting operators on the space of two-sided sequences: V. Y. Slyusarchuk; Volume 20, No.3, pp. 401-410; Link PDF
Nonlinear differential equations with quasinilpotent operator and unstable zero solution: V. Y. Slyusarchuk and V. I. Sukretnyi; Volume 8, No.3, pp. 404-414; Link PDF
Equations of motion of bodies of the same mass uniformly located on a circle taking into account the speed of gravity: V. Y. Slyusarchuk; Volume 25, No.4, pp. 404-412; Link
Almost periodic but possibly not Bochner almost periodic solutions of nonlinear discrete systems: V. Y. Slyusarchuk; Volume 17, No.3, pp. 407-418; Link PDF
Conditions for existence of almost periodic solutions of nonlinear difference equations with discrete argument: V. Y. Slyusarchuk; Volume 16, No.3, pp. 416-425; Link PDF
Reversibility of the nonlinear operator $(\mathcal{L}x)(t)=H\bigl(x(t),\frac{d x(t)}{dt}\bigr)$ in the space of functions bounded on the real axis: V. Y. Slyusarchuk; Volume 11, No.3, pp. 421-436; Link PDF
Conditions for absolute instability of solutions of differential-difference equations: V. Y. Slyusarchuk; Volume 7, No.3, pp. 430-436; Link PDF
Conditions for the existence of solutions of discrete equations with a precompact set of values: V. Y. Slyusarchuk; Volume 26, No.3, pp. 434-440; Link
Necessary and sufficient conditions for the existence and uniqueness of bounded solutions of nonlinear differential equations.: V. Y. Slyusarchuk; Volume 2, No.4, pp. 523-539; Link PDF
Nonlinear difference equations in spaces of bounded two sided sequences: V. Y. Slyusarchuk; Volume 15, No.4, pp. 528-538; Link PDF
Dynamics of three bodies located on a straight line with regard for a finite speed of gravity: V. Y. Slyusarchuk; Volume 23, No.4, pp. 529-552; Link PDF
Almost periodic solutions of differential equations: V. Y. Slyusarchuk; Volume 22, No.4, pp. 532-547; Link PDF
Oscillations of the Earth surface caused by the its rotation, motion around the Sun and a finite speed of gravity: V. Y. Slyusarchuk; Volume 24, No.4, pp. 535-559; Link PDF
Exponentially dichotomic difference equations with non-Lipschitz perturbations: V. Y. Slyusarchuk; Volume 14, No.4, pp. 536-555; Link PDF
Difference equation with absolutely unstable zero solutions: V. Y. Slyusarchuk; Volume 16, No.4, pp. 536-546; Link PDF
Fixed point theorems and difference equations with nonempty set of bounded solutions: V. Y. Slyusarchuk; Volume 20, No.4, pp. 537-548; Link PDF