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Found 119 Documents (Results 1–100)

A novel strategy of extending the domain of attraction of affine nonlinear systems. (English. Russian original) Zbl 07789354

J. Math. Sci., New York 276, No. 2, 289-299 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 178, 91-101 (2020).
MSC:  93D20 93C10 93C15
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Weakly perturbed impulsive boundary-value problem for integrodifferential systems in the resonance case. (English. Ukrainian original) Zbl 1521.45004

J. Math. Sci., New York 274, No. 1, 13-24 (2023); translation from Neliniĭni Kolyvannya 25, No. 1, 14-24 (2022).
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Application of the generalized method of eigenoscillations to the solution of the problems of scattering on nanostructures. (English. Ukrainian original) Zbl 1520.78020

J. Math. Sci., New York 272, No. 1, 64-79 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 2, 59-71 (2020).
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Method of similar operators in the study of spectral properties of perturbed first-order differential operators. (English. Russian original) Zbl 07552485

J. Math. Sci., New York 263, No. 5, 599-615 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 171, 3-18 (2019).
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Dynamics of coupled Van der Pol oscillators. (English. Russian original) Zbl 1504.34090

J. Math. Sci., New York 262, No. 6, 817-824 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 168, 53-60 (2019).
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On the rate of stabilization of solutions to the Cauchy problem for the Godunov-Sultangazin system with periodic initial data. (English. Russian original) Zbl 1476.35039

J. Math. Sci., New York 259, No. 3, 349-375 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 165, 88-113 (2019).
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Lyapunov functions and asymptotics at infinity of solutions of equations that are close to Hamiltonian equations. (English. Russian original) Zbl 1482.37053

J. Math. Sci., New York 258, No. 1, 97-109 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 163, 96-107 (2019).
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Conservation laws for hyperbolic equations: search algorithm for local preimage with respect to the total derivative. (English. Russian original) Zbl 1471.35203

J. Math. Sci., New York 257, No. 3, 358-365 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 162, 85-92 (2019).
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Uniqueness of solutions to second order Emden-Fowler type equations with general power-law nonlinearity. (English. Russian original) Zbl 1471.34032

J. Math. Sci., New York 255, No. 5, 543-550 (2021); translation from Probl. Mat. Anal. 109, 11-16 (2021).
MSC:  34A34 34A12
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Almost periodic solutions of differential equations. (English. Ukrainian original) Zbl 1486.34089

J. Math. Sci., New York 254, No. 2, 287-304 (2021); translation from Neliniĭni Kolyvannya 22, No. 4, 532-547 (2019).
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Optimal perturbations of systems with delayed independent variables for control of dynamics of infectious diseases based on multicomponent actions. (English. Russian original) Zbl 1459.92117

J. Math. Sci., New York 253, No. 5, 618-641 (2021); translation from Sovrem. Mat., Fundam. Napravl. 63, No. 3, 392-417 (2017).
MSC:  92D30 34A34 34D10
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Nonlinear boundary-value problems for degenerate differential-algebraic systems. (English. Ukrainian original) Zbl 1464.34027

J. Math. Sci., New York 252, No. 4, 463-471 (2021); translation from Ukr. Mat. Visn. 17, No. 3, 313-324 (2020).
MSC:  34A09 34A45
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Asymptotic problem for second-order ordinary differential equation with nonlinearity corresponding to a butterfly catastrophe. (English. Russian original) Zbl 1461.34078

J. Math. Sci., New York 252, No. 2, 247-265 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 152, 125-142 (2018).
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Symmetry drivers and formal integrals of hyperbolic systems. (English. Russian original) Zbl 1456.37068

J. Math. Sci., New York 252, No. 2, 232-241 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 152, 110-119 (2018).
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Weakly nonlinear boundary-value problems for systems of impulsive integrodifferential equations. Critical case of the second order. (English. Ukrainian original) Zbl 1474.45038

J. Math. Sci., New York 249, No. 4, 553-572 (2020); translation from Neliniĭni Kolyvannya 22, No. 2, 147-164 (2019).
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On the equivalence of first-order Abel equations with coefficients depending on the control parameter. (English. Russian original) Zbl 1452.34051

J. Math. Sci., New York 248, No. 4, 505-510 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 148, 130-135 (2018).
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Nonzero periodic solutions of a special system of nonlinear differential equations. (English. Russian original) Zbl 1452.34047

J. Math. Sci., New York 248, No. 4, 467-475 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 148, 93-100 (2018).
MSC:  34C25 37C60 47N20
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Convergence of the Newton-Kurchatov method under weak conditions. (English. Russian original) Zbl 07182074

J. Math. Sci., New York 243, No. 1, 1-10 (2019); translation from Mat. Metody Fiz.-Mekh. Polya 60, No. 2, 7-13 (2017).
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Behavior of stabilizing solutions of the Riccati equation. (English. Russian original) Zbl 1409.34024

J. Math. Sci., New York 234, No. 4, 455-469 (2018); translation from Tr. Semin. Im. I. G. Petrovskogo 31, 110-133 (2016).
MSC:  34A34 34D05
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Phase portraits of dynamical equations of motion of a rigid body in a resistive medium. (English. Russian original) Zbl 1423.70015

J. Math. Sci., New York 233, No. 3, 398-425 (2018); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 135 (2017).
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Asymptotics of oscillating solutions to equations with power nonlinearities. (English. Russian original) Zbl 1393.34051

J. Math. Sci., New York 230, No. 5, 651-655 (2018); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 132 (2016).
MSC:  34D05 34C10 34A34
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The computational complexity of the initial value problem for the three body problem. (English. Russian original) Zbl 1379.65049

J. Math. Sci., New York 224, No. 2, 221-230 (2017); translation from Zap. Nauchn. Semin. POMI 448, 80-95 (2016).
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Hyperbolic invariant tori of a fast-slow system with dynamic bifurcation of multifrequency oscillations. (English. Ukrainian original) Zbl 1364.37069

J. Math. Sci., New York 222, No. 3, 312-335 (2017); translation from Neliniĭni Kolyvannya 19, No. 1, 101-121 (2016).
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On the solutions of systems of nonlinear functional equations continuous in \(t\in\mathfrak{R}\). (English. Ukrainian original) Zbl 1378.39014

J. Math. Sci., New York 222, No. 3, 237-254 (2017); translation from Neliniĭni Kolyvannya 19, No. 1, 32-47 (2016).
MSC:  39B72 39B42
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Asymptotic behavior of the solutions of nonautonomous ordinary differential equations of order \(n\). (English. Ukrainian original) Zbl 1365.34087

J. Math. Sci., New York 222, No. 3, 226-236 (2017); translation from Neliniĭni Kolyvannya 19, No. 1, 22-31 (2016).
MSC:  34D05 34A34 37C60
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Systems of linear and nonlinear equations with partial integrals. (English. Russian original) Zbl 1360.45003

J. Math. Sci., New York 219, No. 1, 133-142 (2016); translation from Probl. Mat. Anal. 85, 127-134 (2016).
MSC:  45F05 45G15 45J05
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Existence of countably many cycles in hyperbolic systems of differential equations with transformed argument. (English. Ukrainian original) Zbl 1343.35157

J. Math. Sci., New York 215, No. 3, 341-349 (2016); translation from Neliniĭni Kolyvannya 18, No. 1, 71-78 (2015).
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Partial regularity of solutions to model Venttsel problem for quasilinear elliptic systems of equations with quadratic nonlinearity relative to the gradient. (English. Russian original) Zbl 1336.35150

J. Math. Sci., New York 210, No. 5, 571-589 (2015); translation from Probl. Mat. Anal. 82, 15-30 (2015).
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Oriented degree of Fredholm maps: finite-dimensional reduction method. (English. Russian original) Zbl 1384.47007

J. Math. Sci., New York 204, No. 5, 543-714 (2015); translation from Sovrem. Mat., Fundam. Napravl. 44, 3-171 (2012).
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On transcendental functions arising from integrating differential equations in finite terms. (English. Russian original) Zbl 1337.12001

J. Math. Sci., New York 209, No. 6, 935-952 (2015); translation from Zap. Nauchn. Semin. POMI 432, 196-223 (2015).
MSC:  12H05 34A34 37K20
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Boundary-value problems for systems of integrodifferential equations. (English. Ukrainian original) Zbl 1310.45005

J. Math. Sci., New York 203, No. 3, 306-321 (2014); translation from Neliniĭni Kolyvannya 16, No. 4, 460-474 (2013).
MSC:  45G15 45J05 45F05
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Weakly nonlinear systems of integrodifferential equations. (English. Ukrainian original) Zbl 1309.45006

J. Math. Sci., New York 201, No. 3, 288-295 (2014); translation from Neliniĭni Kolyvannya 16, No. 3, 314-321 (2013).
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A synthesis of the control of dynamical systems on the basis of the method of Lyapunov functions. (English. Russian original) Zbl 1304.93038

J. Math. Sci., New York 199, No. 6, 597-603 (2014); translation from Sovrem. Mat., Fundam. Napravl. 42, 23-29 (2011).
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On one class of systems of Lax-type equations. (English. Russian original) Zbl 1312.34036

J. Math. Sci., New York 198, No. 4, 420-437 (2014); translation from Ukr. Mat. Visn. 10, No. 4, 507-531 (2013).
MSC:  34A34 47E05
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Periodic solutions of the systems of nonlinear functional equations. (English. Ukrainian original) Zbl 1318.39016

J. Math. Sci., New York 197, No. 1, 92-95 (2014); translation from Neliniĭni Kolyvannya 16, No. 1, 90-93 (2013).
MSC:  39B72
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Geometry of a quasilinear system of two partial differential equations of the 1st and 2nd order in two functions of two independent variables. (English. Russian original) Zbl 1286.35015

J. Math. Sci., New York 174, No. 5, 641-652 (2011); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 124, No. 1 (2010).
MSC:  35B06 35G50
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Topological degree of condensing multi-valued perturbations of the \((S)_+\)-class maps and its applications. (English. Russian original) Zbl 1300.47069

J. Math. Sci., New York 170, No. 3, 405-422 (2010); translation from Sovrem. Mat., Fundam. Napravl. 35, 60-77 (2010).
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Explicit construction of attracting integral manifolds for a dissipative hyperbolic equation. (English. Russian original) Zbl 1511.35044

J. Math. Sci., New York 143, No. 4, 3239-3252 (2007); translation from Tr. Semin. Im. I. G. Petrovskogo 26, 90-113 (2007).
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Some results of perturbed inclusions with compact-valued mapping. (English. Russian original) Zbl 1151.45005

J. Math. Sci., New York 142, No. 3, 2073-2078 (2007); translation from Sovrem. Mat. Prilozh. 29, 52-57 (2005).
MSC:  45G15 45L05 47H04
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On the asymptotic behavior of solutions of an equation of the Emden-Fowler type with a complex coefficient. (English. Russian original) Zbl 1167.34356

J. Math. Sci., New York 142, No. 3, 2033-2037 (2007); translation from Sovrem. Mat. Prilozh. 29, 14-17 (2005).
MSC:  34D05 34A34
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On entire nonnegative solutions of quasilinear inequalities of elliptic type that vanish on a set of positive measure. (English. Russian original) Zbl 1131.35336

J. Math. Sci., New York 135, No. 1, 2675-2679 (2006); translation from Tr. Semin. Im. I. G. Petrovskogo 25, 112-118 (2005).
MSC:  35J60 35R45
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New a priori estimates for \(q\)-nonlinear elliptic systems with strong nonlinearities in the gradient, \(1< q< 2\). (Russian, English) Zbl 1102.35037

J. Math. Sci., New York 132, No. 3, 255-273 (2006); translation from Zap. Nauchn. Semin. POMI 310, 19-48, 226 (2004).
MSC:  35J55 35B45 35J60
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On systems of singular quasilinear parabolic equations and inequalities. (English. Russian original) Zbl 1514.35260

J. Math. Sci., New York 114, No. 4, 1529-1546 (2003); translation from Tr. Semin. Im. I. G. Petrovskogo 22, 232-260 (2002).
MSC:  35K40 35K55 35R45
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On the solvability of H. Amann’s problem in Hölder spaces. (English. Russian original) Zbl 1082.35074

J. Math. Sci., New York 127, No. 2, 1828-1848 (2005); translation from Zap. Nauchn. Semin. POMI 295, 18-56 (2003).
MSC:  35K50 35B45 35J60 35K55 35A05
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Solvability problem for nondiagonal elliptic systems with a quadratic nonlinearity in the gradient (the two-dimensional case). (English. Russian original) Zbl 1073.35081

J. Math. Sci., New York 127, No. 2, 1821-1827 (2005); translation from Zap. Nauchn. Semin. POMI 295, 5-17 (2003).
MSC:  35J55 35D05 35J60
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Hugoniót-Maslov chains for singular vortical solutions to quasilinear hyperbolic systems and typhoon trajectory. (English. Russian original) Zbl 1069.37049

J. Math. Sci., New York 124, No. 5, 5209-5249 (2004); translation from Sovrem. Mat., Fundam. Napravl. 2, 5-44 (2003).
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Global solvability of the Cauchy-Dirichlet problem for the class of nondiagonal parabolic systems with \(q\)-nonlinearity in the gradient, \(1< q< 2\). (English. Russian original) Zbl 1074.35046

J. Math. Sci., New York 123, No. 6, 4539-4564 (2004); translation from Zap. Nauchn. Semin. POMI 288, 34-78 (2002).
MSC:  35K50 35K55 35B45 35B65
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Some questions of the qualitative theory of ordinary differential equations and dynamics of a rigid body interacting with a medium. (English) Zbl 1006.34035

J. Math. Sci., New York 110, No. 2, 2528-2557 (2002); translation from Dynamical Systems - 10, Itogi Nauki Tekhn., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 79 (2000).
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Partial regularity up to the boundary for weak solutions of elliptic systems with nonlinearity \(q\) greater than two. (English. Russian original) Zbl 1118.35319

J. Math. Sci., New York 115, No. 6, 2735-2746 (2003); translation from Zap. Nauchn. Semin. POMI 271, 63-82 (2000).
MSC:  35J55 35D10 35J25 35J60
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Asymptotic theory of oscillations in Vitt systems. (English. Russian original) Zbl 1014.35057

J. Math. Sci., New York 105, No. 1, 1697-1737 (2001); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat Obz. 67, 5-68 (1999).
MSC:  35L50 35B10 35B32
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On a partial regularity up to the boundary of weak solutions to quasilinear parabolic systems with quadratic growth. (English. Russian original) Zbl 0969.35032

J. Math. Sci., New York 101, No. 5, 3385-3397 (2000); translation from Zap. Nauchn. Semin. POMI 249, 20-39 (1997).
MSC:  35D10 35K50 35K55
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On the existence of an asymptotically large number of stable dissipative patterns in parabolic systems with small diffusion. (English. Russian original) Zbl 0962.35081

J. Math. Sci., New York 97, No. 3, 3999-4013 (1999); translation from Tr. Semin. Im. I. G. Petrovskogo 20, 3-26 (1997).
MSC:  35K50 35K57 35B05 35K60
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Global solvability of the Cauchy-Dirichlet problem for nondiagonal parabolic systems with variational structure in the case of two spatial variables. (English. Russian original) Zbl 0953.35059

J. Math. Sci., New York 92, No. 6, 4231-4255 (1998); translation from Probl. Mat. Anal. 16, 3-40 (1997).
MSC:  35K50 35B40 35K55 35B65
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Partial regularity for quasilinear nonuniformly parabolic systems. (English. Russian original) Zbl 0953.35056

J. Math. Sci., New York 92, No. 6, 4286-4301 (1998); translation from Probl. Mat. Anal. 16, 88-111 (1997).
MSC:  35K40 35D10 35K55 35B65
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Bifurcation of spatially inhomogeneous auto-oscillations from a non-local homogeneous cycle in systems with small diffusion. (English. Russian original) Zbl 0914.35059

J. Math. Sci., New York 85, No. 6, 2402-2414 (1997); translation from Tr. Semin. Im. I. G. Petrovskogo 19, 262-283 (1996).
MSC:  35K60 35B32 35K50
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On the regularity of the solutions of boundary-value problem for quasilinear elliptic systems with quadratic nonlinearity. (English. Russian original) Zbl 0866.35024

J. Math. Sci., New York 80, No. 6, 2208-2225 (1996); translation from Probl. Mat. Anal. 15, 47-69 (1995).
MSC:  35B65 35J65 35J45
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Estimate of the gradient of a solution of the Dirichlet problem for Monge-Ampère type equations in a domain with nonsmooth boundary. (English. Russian original) Zbl 0863.35043

J. Math. Sci., New York 77, No. 4, 3337-3345 (1995); translation from Probl. Mat. Anal. 14, 110-121 (1995).
Reviewer: D.Huet (Nancy)
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