Volume 6, No. 1 Volume 6, No. 2 Volume 6, No. 3 Volume 6, No. 4

Positive definiteness criteria for a certain class of infinite quadratic forms: V. M. Bondarenko and A. M. Polishchuk; Pages 3-14; Link PDF
Solition solutions for the inverse Korteweg - de Vries equation: O. V. Vorobjova and M. M. Prytula; Pages 15-20; Link PDF
Geometric interpretation of quadratic centers: V. A. Gaiko; Pages 21-33; Link PDF
Boundedness of solutions of certain Volterra system in a finitedimensional space: M. F. Horodnii; Pages 34-41; Link PDF
Determination of the boundaries between the domains of stability and instability for the Hill's equation: E. A. Grebenikov and A. N. Prokopenya; Pages 42-51; Link PDF
About absolute exponential stability of solutions for systems of linear parabolic differential equations with one delay: V. P. Kushnir; Pages 52-55; Link PDF
Volterra’s theory of elastic dislocations for a transversally isotropic homogeneous hollow cylinder: E. Laserra and M. Pecoraro; Pages 56-73; Link PDF
Determination of an exact solution to the integral Gelfand - Levitan - Marchenko equation for the Sturm - Liouville operators with the step-type potential: V. P. Revenko; Pages 74-82; Link PDF
On some symmetry properties of periodic solutions: A. N. Ronto and M. Rontó; Pages 83-108; Link PDF
Hamiltonian formulation for the motion of a two fluid system with free surface: G. Sciortino, M. La Rocca, and M. Boniforti; Pages 109-116; Link PDF
Existence of positive solutions for the singular equation [Mimetex cannot convert this formula]: H. Lü, D. O'Regan, and Cheng-Kui Zhong; Pages 117-132; Link PDF
Integration of Shazy equation with constant coefficients: A. V. Chichurin; Pages 133-143; Link PDF
The 13th scientific session of the mathematical commission of the T. H. Shevchenko scientific society: A. M. Samoilenko, M. M. Prytula, and A. K. Prykarpatski; Page 144; Link PDF
Existence, uniqueness, and asymptotic stability for a thermoelastic plate: G. Amendola; Pages 147-165; Link PDF
Second order nonlinear Cauchy problems in a four dimensional space: A. Di Bartolomeo, J. Quartieri, and S. Steri; Pages 166-170; Link PDF
Critical cases of π-stability of a nonautonomous essentially nonlinear equation of order [Mimetex cannot convert this formula]: I. E. Vitrychenko; Pages 171-177; Link PDF
Existence and asymptotic behavior of solutions of the Cauchy problem [Mimetex cannot convert this formula], [Mimetex cannot convert this formula]: O. Е. Zernov and Y. V. Kuzina; Pages 178-190; Link PDF
On stability of a nonlinear pendulum: E. Kengne; Pages 191-196; Link PDF
Gravity-capillary waves in layered fluid: M. La Rocca, G. Sciortino, and M. Boniforti; Pages 197-205; Link PDF
A projection-iteration method for differential systems with a delay and restrictions: A. Y. Luchka and V. A. Feruk; Pages 206-232; Link PDF
A scheme for studying the spectrum of a family of perturbed operators, and its application to spectral problems in thick junctions: T. A. Mel'nyk; Pages 233-251; Link PDF
Oscillations in differential equations with state-dependent delays: K. Niri; Pages 252-259; Link PDF
On Frechet differentiability of invariant torus for nonlinear countable system of difference equations defined on an infinite-dimensional torus and containing deviations of the discrete argument: Y. V. Teplinsky and N. A. Marchuk; Pages 260-278; Link PDF
Integration of special linear equations of the second order: A. V. Chichurin; Pages 279-287; Link
The 13th scientific session of the mathematical commission of the T. H. Shevchenko scientific society: A. M. Samoilenko and M. M. Prytula; Page 288; Link PDF
Some uniqueness result on controllability for functional semilinear differential equations in Fréchet spaces: A. Arara, M. Benchohra, and A. Ouahab; Pages 291-308; Link PDF
A set of bounded solutions solutions of a weakly perturbed system: An. O.; Pages 309-318; Link PDF
Solvability of degenerate semilinear parabolic functional differential equations: L. A. Vlasenko; Pages 319-333; Link PDF
Optimal existence theory for single and multiple positive periodic solutions to functional differential equations: D. Jiang, D. O'Regan, and R. P. Agarwal; Pages 334-345; Link PDF
Modified Ginzburg-Landau equation and Benjamin-Feir instability: E. Kengne; Pages 346-356; Link PDF
A nonlinear model for the age-dependent population growth dynamics: V. G. Matsenko; Pages 357-367; Link PDF
A development of the Sturm - Liouville method for solving a boundary-value problem for the biharmonic equation: V. P. Revenko; Pages 368-377; Link PDF
On existence of a smooth bounded semiinvariant manifold for a degenerate nonlinear system of difference equations in the space [Mimetex cannot convert this formula]: A. M. Samoilenko, Y. V. Teplinsky, and I. V. Semenyshyna; Pages 378-400; Link PDF
Solution of boundary-value problems on dynamics of a fluid in horizontal cylindrical cavities with partitions: V. A. Trotsenko; Pages 401-427; Link PDF
An iteration method for systems of nonlinear differential equations with delays and restrictions: V. A. Feruk; Pages 428-436; Link PDF
Bounded on [Mimetex cannot convert this formula] solutions of weakly nonlinear systems of ordinary differential equations: An. O.; Pages 439-447; Link PDF
A study of solutions that are continuously differentiable and bounded on [Mimetex cannot convert this formula] for a system of nonlinear integral partial differential functional equations with linearly transformed argumen: M. I. Gromyak; Pages 448-455; Link PDF
Generalized Euler method for nonlinear first order partial differential equations: Z. Kamont and J. Newlin-Łukowicz; Pages 456-474; Link PDF
Homologies of intersections of pseudomanifolds that satisfy local homotopy conditions on the strata links: L. P. Plakhta; Pages 475-481; Link PDF
On the numerical-analytic investigation of parametrized problems with nonlinear boundary conditions: M. Rontó and N. M. Shchobak; Pages 482-510; Link PDF
Low-frequency propagation of plane scalar waves through a periodic array of arbitrary volumetric obstacles: E. Scarpetta and M. A. Sumbatyan; Pages 511-524; Link PDF
On averaging difference equations on an infinite interval: O. M. Stanzhitskyi and A. M. Ateiwi; Pages 525-529; Link PDF
On a nonlinear boundary-value problem on the half-line for ordinary differential equations in the space of bounded number sequences with a countable set of boundary moments: Y. V. Teplinsky and V. A. Nedokis; Pages 530-549; Link PDF
On an antiperiodic type boundary-value problem for first order nonlinear functional differential equations of non-Volterra's type: R. Hakl, A. Lomtatidze, and J. Šremr; Pages 550-573; Link PDF

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