Iteration Method for Systems of Nonlinear Differential Equations with Delay and Restrictions V. A. Feruk OriginalPaper Pages: 418 - 426
Solution of Boundary-Value Problems of the Dynamics of a Liquid in Horizontal Cylindrical Cavities with Partitions V. A. Trotsenko OriginalPaper Pages: 393 - 417
On the Existence of a Smooth Bounded Semiinvariant Manifold for a Degenerate Nonlinear System of Difference Equations in the Space m A. M. SamoilenkoYu. V. Teplins'kyiI. V. Semenyshyna OriginalPaper Pages: 371 - 392
Development of the Spectral Sturm–Liouville Method for the Solution of a Boundary-Value Problem for the Biharmonic Equation V. P. Revenko OriginalPaper Pages: 361 - 370
Modified Ginzburg–Landau Equation and Benjamin–Feir Instability E. Kengne OriginalPaper Pages: 339 - 349
Optimal Existence Theory for Single and Multiple Positive Periodic Solutions of Functional Differential Equations D. JiangD. O'ReganR. P. Agarwal OriginalPaper Pages: 327 - 338
Solvability of Degenerate Semilinear Parabolic Functional Differential Equations L. A. Vlasenko OriginalPaper Pages: 313 - 326
A Set of Bounded Solutions of a Linear Weakly Perturbed System A. O. Boichuk OriginalPaper Pages: 304 - 312
Some Uniqueness Results on Controllability for Functional Semilinear Differential Equations in Fréchet Spaces A. AraraM. BenchohraA. Ouahab OriginalPaper Pages: 287 - 303
Integration of Special Linear Equations of the Second Order A. V. Chichurin OriginalPaper Pages: 277 - 286
On the Fréchet Differentiability of an Invariant Torus of a Nonlinear Countable System of Difference Equations Defined on an Infinite-Dimensional Torus and Containing Deviations of a Discrete Argument Yu. V. Teplins'kyiN. A. Marchuk OriginalPaper Pages: 258 - 276
Oscillations in Differential Equations with State-Dependent Delays K. Niri OriginalPaper Pages: 250 - 257
Scheme of Investigation of the Spectrum of a Family of Perturbed Operators and Its Application to Spectral Problems in Thick Junctions T. A. Mel'nyk OriginalPaper Pages: 232 - 249
Projection-Iterative Method for Systems of Differential Equations with Delay and Restrictions A. Yu. LuchkaV. A. Feruk OriginalPaper Pages: 205 - 231
Gravity-Capillary Waves in Layered Fluid M. La RoccaG. SciortinoM. A. Boniforti OriginalPaper Pages: 196 - 204
Existence and Asymptotic Behavior of Solutions of the Cauchy Problem x (x′)γ = f(t, x, x′), x(0) = 0 A. E. ZernovYu. E. Kuzina OriginalPaper Pages: 176 - 189
Critical Cases of the π-Stability of a Nonautonomous Essentially Nonlinear Equation of the nth order I. E. Vitrychenko OriginalPaper Pages: 169 - 175
Second-Order Nonlinear Cauchy Problems in a Four-Dimensional Space A. Di BartolomeoJ. QuartieriS. Steri OriginalPaper Pages: 164 - 168
Existence, Uniqueness, and Asymptotic Stability for a Thermoelastic Plate G. Amendola OriginalPaper Pages: 145 - 163
Integration of Chazy Equation with Constant Coefficients A. V. Chichurin OriginalPaper Pages: 133 - 144
Existence of Positive Solutions for the Singular Equation (ϕ p (y′))′ + g(t, y, y′) = 0 Haishen LüD. O'ReganChengkui Zhong OriginalPaper Pages: 116 - 132
Hamiltonian Formulation for the Motion of a Two-Fluid System with Free Surface G. SciortinoM. La RoccaM. A. Boniforti OriginalPaper Pages: 108 - 115
Determination of an Exact Solution of the Integral Gelfand-Levitan-Marchenko Equation for the Sturm-Liouville Operators with Step-Type Potential V. P. Revenko OriginalPaper Pages: 74 - 81
Volterra's Theory of Elastic Dislocations for a Transversally Isotropic Homogeneous Hollow Cylinder E. LaserraM. Pecoraro OriginalPaper Pages: 54 - 73
On the Absolute Exponential Stability of Solutions of Systems of Linear Parabolic Differential Equations with One Delay V. P. Kushnir OriginalPaper Pages: 50 - 53
Determination of the Boundaries between the Domains of Stability and Instability for the Hill Equation E. A. GrebenikovA. N. Prokopenya OriginalPaper Pages: 40 - 49
Boundedness of Solutions of Certain Volterra Systems in a Finite-Dimensional Space M. F. Horodnii OriginalPaper Pages: 32 - 39
Soliton Solutions for the Inverse Korteweg-De Vries Equation O. V. VorobiovaM. M. Prytula OriginalPaper Pages: 13 - 18
On a Criterion of Positive Definiteness for One Class of Infinite Quadratic Forms V. M. BondarenkoA. M. Polishchuk OriginalPaper Pages: 1 - 12
Construction of a General Solution of a Degenerate Linear System of Differential Equations with Irregular Singular Point V. P. Yakovets'O. A. Shepel' OriginalPaper Pages: 557 - 574
On Asymptotic Decomposition of Solutions of Systems of Differential Equations with Slowly Varying Coefficients M. I. Shkil' OriginalPaper Pages: 546 - 556
Construction of Asymptotic Solutions of Systems of Differential Equations with Deviating Argument and Degenerate Matrix of Coefficients of Derivatives P. F. Samusenko OriginalPaper Pages: 523 - 536
Asymptotic Integration of Weakly Nonlinear Systems with Unstable Spectrum M. O. Rashevs'kyi OriginalPaper Pages: 512 - 522
Asymptotic Solution of Some Systems of Nonlinear Differential-Difference Equations Yu. P. Pidchenko OriginalPaper Pages: 499 - 511
Asymptotic Properties of Global Solutions of Systems of Functional Differential Equations of Neutral Type with Nonlinear Deviations of an Argument H. P. PelyukhO. P. Oliinychenko OriginalPaper Pages: 484 - 498
Projection-Iterative Method for Differential Equations with Restrictions A. Yu. Luchka OriginalPaper Pages: 459 - 483
On the Asymptotic Behavior of Solutions of a System of Nonlinear Differential Equations S. M. Kovalenko OriginalPaper Pages: 452 - 458
Singularly Perturbed System of Differential Equations with Regular Singularity H. V. Zavizion OriginalPaper Pages: 439 - 451
Stability of Solutions of a Degenerate Linear System of Differential Equations A. M. Akymenko OriginalPaper Pages: 430 - 438
On a Boundary-Value Problem of Periodic Type for First-Order Linear Functional Differential Equations R. HaklA. LomtatidzeJ. Šremr OriginalPaper Pages: 408 - 425
Two Functional Boundary-Value Problems with Singularities in Phase Variables S. Staněek OriginalPaper Pages: 379 - 407
Necessary and Sufficient Conditions for the Invertibility of the Nonlinear Difference Operator \(\left( {\mathcal{D}x} \right)\left( t \right) = x\left( {t + 1}\right) - f\left( {x\left( t \right)} \right)\) in the Space of Functions Bounded and Continuous on the Axis V. E. Slyusarchu OriginalPaper Pages: 372 - 378
Application of Topological Methods to Quasilinear Parabolic Boundary-Value Problems I. B. RomanenkoA. V. Zablods'ka OriginalPaper Pages: 360 - 371
Singular Nonlinear Eigenvalue Problem for a Second-Order Differential Equation with Energy Dissipation I. O. ParasyukS. V. Pozur OriginalPaper Pages: 338 - 359
