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Found 66 Documents (Results 1–66)

One advance in the proof of the conjecture on meromorphic solutions of Briot-Bouquet type equations. (English. Russian original) Zbl 07733635

Izv. Math. 86, No. 5, 1020-1030 (2022); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 86, No. 5, 197-208 (2022).
MSC:  34M05 34M04
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Complete description of the Lyapunov spectra of continuous families of linear differential systems with unbounded coefficients. (English. Russian original) Zbl 1506.34070

Izv. Math. 84, No. 6, 1037-1055 (2020); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 6, 3-22 (2020).
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On singularly perturbed systems of ODE with a multiple root of the degenerate equation. (English. Russian original) Zbl 1445.34087

Izv. Math. 84, No. 2, 262-290 (2020); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 2, 60-89 (2020).
MSC:  34E15 34E05 34B15
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A new approach to the question of the existence of bounded solutions of functional differential equations of point type. (English. Russian original) Zbl 1458.34120

Izv. Math. 84, No. 2, 209-245 (2020); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 2, 3-42 (2020).
MSC:  34K12 34K13
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Completion of the classification of generic singularities of geodesic flows in two classes of metrics. (English. Russian original) Zbl 1458.53050

Izv. Math. 83, No. 1, 104-123 (2019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 1, 119-139 (2019).
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A new approach to the question of existence of periodic solutions for functional differential equations of point type. (English. Russian original) Zbl 1415.34110

Izv. Math. 82, No. 6, 1077-1107 (2018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 6, 3-36 (2018).
MSC:  34K13
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On the basis property of the system of eigenfunctions and associated functions of a one-dimensional Dirac operator. (English. Russian original) Zbl 1416.34075

Izv. Math. 82, No. 2, 351-376 (2018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 2, 113-139 (2018).
MSC:  34L10 34L40 47E05
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On invertibility states of differential and difference operators. (English. Russian original) Zbl 1471.47029

Izv. Math. 82, No. 1, 1-13 (2018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 1, 3-16 (2018).
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High-frequency asymptotics of solutions of ODE in a Banach space. (English. Russian original) Zbl 1393.34064

Izv. Math. 81, No. 6, 1234-1252 (2017); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 6, 180-198 (2017).
MSC:  34G10 34C29 34E05
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Many-circuit canard trajectories and their applications. (English. Russian original) Zbl 1376.34056

Izv. Math. 81, No. 4, 771-817 (2017); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 4, 108-157 (2017).
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Topology, singularities and integrability in Hamiltonian systems with two degrees of freedom. (English. Russian original) Zbl 1378.37096

Izv. Math. 81, No. 4, 671-687 (2017); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 4, 3-19 (2017).
MSC:  37J30 70H05 34C40 37J05 37J35
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The phase-integral method in a problem of singular perturbation theory. (English. Russian original) Zbl 1367.34106

Izv. Math. 81, No. 2, 359-390 (2017); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 2, 129-160 (2017).
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On the string equation with a singular weight belonging to the space of multipliers in Sobolev spaces with negative index of smoothness. (English. Russian original) Zbl 1365.34050

Izv. Math. 80, No. 6, 1242-1256 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 6, 258-273 (2016).
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Periodic solutions of travelling-wave type in circular gene networks. (English. Russian original) Zbl 1383.34062

Izv. Math. 80, No. 3, 523-548 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 3, 67-94 (2016).
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Isomonodromic deformation of Lamé connections, Painlevé VI equation and Okamoto symmetry. (English. Russian original) Zbl 1346.34059

Izv. Math. 80, No. 1, 113-166 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 1, 119-176 (2016).
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Proof of the gamma conjecture for Fano 3-folds of Picard rank 1. (English. Russian original) Zbl 1369.14054

Izv. Math. 80, No. 1, 24-49 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 1, 27-54 (2016).
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Difference operators and operator-valued matrices of the second order. (English. Russian original) Zbl 1362.47019

Izv. Math. 79, No. 2, 217-232 (2015); translation from Izv. Ross. Akad. Nauk, Ser. Mat 79, No. 2, 3-20 (2015).
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Conditions for almost periodicity of bounded solutions of non-linear differential-difference equations. (English. Russian original) Zbl 1310.34095

Izv. Math. 78, No. 6, 1232-1243 (2014); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 78, no. 6, 179-192 (2014).
MSC:  34K14 34K30 34K12
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Implicit ordinary differential equations: bifurcations and sharpening of equivalence. (English. Russian original) Zbl 1343.34033

Izv. Math. 78, No. 6, 1063-1078 (2014); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 78, no. 6, 5-20 (2014).
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The buffer phenomenon in ring-like chains of unidirectionally connected generators. (English. Russian original) Zbl 1378.34055

Izv. Math. 78, No. 4, 708-743 (2014); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 78, No. 4, 73-108 (2014).
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Relaxation self-oscillations in Hopfield networks with delay. (English. Russian original) Zbl 1271.34074

Izv. Math. 77, No. 2, 271-312 (2013); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 77, No. 2, 53-96 (2013).
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Asymptotics of the monodromy transformation in certain classes of monodromy germs. (English. Russian original) Zbl 1349.34389

Izv. Math. 77, No. 2, 253-270 (2013); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 77, No. 2, 35-52 (2013).
MSC:  34M35 37C10 58K45
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The far-field asymptotics of solutions of a fractional non-linear equation. (English. Russian original) Zbl 1273.35296

Izv. Math. 76, No. 2, 245-274 (2012); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 76, No. 2, 37-66 (2012).
MSC:  35R11 26A33 34A08
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Oscillation and wandering characteristics of solutions of a linear differential system. (English. Russian original) Zbl 1248.34037

Izv. Math. 76, No. 1, 139-162 (2012); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 76, No. 1, 149-172 (2012).
MSC:  34C10 34A30 34D08
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On operators of interpolation with respect to solutions of a Cauchy problem and Lagrange-Jacobi polynomials. (English. Russian original) Zbl 1236.41003

Izv. Math. 75, No. 6, 1215-1248 (2011); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 75, No. 6, 129-162 (2011).
MSC:  41A05 41A35 34B24
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The method of similar operators in the spectral analysis of non-self-adjoint Dirac operators with non-smooth potentials. (English. Russian original) Zbl 1219.47024

Izv. Math. 75, No. 3, 445-469 (2011); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 2011, No. 3, 3-28 (2011).
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On the existence and uniqueness of solutions of optimal control problems of linear distributed systems which are not solved with respect to the time derivative. (English. Russian original) Zbl 1232.49005

Izv. Math. 75, No. 2, 395-412 (2011); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 75, No. 2, 177-194 (2011).
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The spectral function of a singular differential operator of order \( 2m\). (English. Russian original) Zbl 1209.47021

Izv. Math. 74, No. 6, 1205-1224 (2010); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 74, No. 6, 107-126 (2010).
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Solubility of a class of second-order integro-differential equations with monotone non-linearity on a semi-axis. (English. Russian original) Zbl 1209.47024

Izv. Math. 74, No. 5, 1069-1082 (2010); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 74, No. 5, 191-204 (2010).
MSC:  47G20 47H30 34G20
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The singularly perturbed Bessel equation in complex domains. (English. Russian original) Zbl 1182.34110

Izv. Math. 73, No. 3, 627-653 (2009); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 73, No. 3, 199-224 (2009).
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Asymptotic behaviour of the positive spectrum of a family of periodic Sturm-Liouville problems under continuous passage from a definite problem to an indefinite one. (English. Russian original) Zbl 1232.34028

Izv. Math. 73, No. 3, 579-610 (2009); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 73, No. 3, 151-182 (2009).
MSC:  34B09 34L20
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Spectral analysis of differential operators with unbounded operator-valued coefficients, difference relations and semigroups of difference relations. (English) Zbl 1167.47006

Izv. Math. 73, No. 2, 215-278 (2009); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 73, No. 2, 3-68 (2009).
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Uniform estimates for positive solutions of quasi-linear ordinary differential equations. (English. Russian original) Zbl 1167.34010

Izv. Math. 72, No. 6, 1141-1160 (2008); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 72, No. 6, 85-104 (2008).
Reviewer: Cemil Tunç (Van)
MSC:  34C11
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On the spectrum of a periodic operator with a small localized perturbation. (English. Russian original) Zbl 1169.34056

Izv. Math. 72, No. 4, 659-688 (2008); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 72, No. 4, 37-66 (2008).
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Lipschitz continuous parametrizations of set-valued maps with weakly convex images. (English. Russian original) Zbl 1143.52003

Izv. Math. 71, No. 6, 1123-1143 (2007); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 71, No. 6, 47-68 (2007).
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Approximation by step functions of functions belonging to Sobolev spaces and uniqueness of solutions of differential equations of the form \(u''=F(x,u,u')\). (English. Russian original) Zbl 1348.41021

Izv. Math. 71, No. 1, 149-180 (2007); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 71, No. 1, 155-186 (2007).
MSC:  41A50 34A12 46E35
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On the blow-up of solutions of a class of strongly nonlinear dissipative wave equations of Sobolev type with sources. (English. Russian original) Zbl 1098.34050

Izv. Math. 69, No. 4, 733-770 (2005); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 69, No. 4, 89-128 (2005).
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On a fourth-order problem with spectral and physical parameters in the boundary condition. (English. Russian original) Zbl 1090.34067

Izv. Math. 68, No. 4, 645-658 (2004); translation from Izv. Ross. Akad. Nauk Ser. Mat. 68, No. 4, 3-18 (2004).
MSC:  34L15 34L20 34B24
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Improved Fuchs inequalities for systems of linear differential equations. (English. Russian original) Zbl 1078.34069

Izv. Math. 68, No. 2, 259-272 (2004); translation from Izv. Ross. Akad. Nauk Ser. Mat. 68, No. 2, 39-52 (2004); correction Izv. Math. 68, No. 6, 1277-1279 (2004); translation from Izv. Ross. Akad. Nauk Ser. Mat. 68, No. 6, 221-222 (2004).
MSC:  34M35 34M10
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A theorem of Bogolyubov with constraints generated by a second-order evolutionary control system. (English. Russian original) Zbl 1062.49013

Izv. Math. 67, No. 5, 1031-1060 (2003); translation from Izv. Ross. Akad. Nauk Ser. Mat. 67, No. 5, 177-206 (2003).
MSC:  49J45 34A60 49J24 93C25
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Relaxed solutions of a Sobolev-type linear equation and semigroups of operators. (English. Russian original) Zbl 1090.47027

Izv. Math. 67, No. 4, 797-813 (2003); translation from Izv. Ross. Akad. Nauk Ser. Mat. 67, No. 4, 171-188 (2003).
MSC:  47D06 34G10 35K90
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On the stability of periodic solutions of the Navier-Stokes system in a three-dimensional exterior domain. (English. Russian original) Zbl 1067.35066

Izv. Math. 67, No. 4, 781-795 (2003); translation from Izv. Ross. Akad. Nauk Ser. Mat. 67, No. 4, 155-170 (2003).
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Uniqueness theorems in linear nonlocal problems for abstract differential equations. (English. Russian original) Zbl 1073.34071

Izv. Math. 67, No. 2, 333-363 (2003); translation from Izv. Ross. Akad. Nauk Ser. Mat. 67, No. 2, 133-166 (2003).
MSC:  34G10 47D06
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On the limit behaviour of the spectrum of a model problem for the Orr-Sommerfeld equation with Poiseuille profile. (English. Russian original) Zbl 1056.34092

Izv. Math. 66, No. 4, 829-856 (2002); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 66, No. 4, 177-204 (2002).
MSC:  34L20 34B24
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Properties of the set of admissible “state-control” pairs for first-order evolution control systems. (English. Russian original) Zbl 1001.49003

Izv. Math. 65, No. 3, 617-640 (2001); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 65, No. 3, 201-224 (2001).
MSC:  49J24 49J30 34H05 49K24 34A60 93C25
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Bounded solutions to differential inclusions with homogeneous principal parts. (English. Russian original) Zbl 0984.34008

Izv. Math. 64, No. 4, 755-776 (2000); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 64, No. 4, 109-130 (2000).
MSC:  34A60 34A26 58C30
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Asymptotics of any order for the eigenvalues and eigenfunctions of the Sturm-Liouville boundary value problem on a segment with a summable potential. (English. Russian original) Zbl 1001.34021

Izv. Math. 64, No. 4, 695-754 (2000); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 64, No. 4, 47-108 (2000).
MSC:  34B24 34B60 34L20
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Spectral synthesis and local description for several variables. (English. Russian original) Zbl 0967.47028

Izv. Math. 63, No. 4, 729-755 (1999); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 63, No. 4, 101-130 (1999).
MSC:  47E05 34L05
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Bounded solutions of linear almost-periodic differential equations. (English. Russian original) Zbl 0921.34042

Izv. Math. 62, No. 3, 581-600 (1998); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 62, No. 3, 155-174 (1998); correction ibid. 63, No. 3 (1999).
MSC:  34C27 37-XX 54H20
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