Year |
Citation |
Score |
2020 |
Dullin H, Latushkin Y, Marangell R, Vasudevan S, Worthington J. Instability of unidirectional flows for the 2D $\alpha$-Euler equations Communications On Pure and Applied Analysis. 19: 2051-2079. DOI: 10.3934/Cpaa.2020091 |
0.38 |
|
2020 |
Gesztesy F, Latushkin Y, Mitrea M, Zinchenko M. Erratum to “Non Self Adjoint Operators, Infinite Determinants, and Some Applications,” Russ. J. Math. Phys. 12, 443–471 (2005) Russian Journal of Mathematical Physics. 27: 410-410. DOI: 10.1134/S1061920820030127 |
0.37 |
|
2020 |
Beck M, Cox G, Jones C, Latushkin Y, Sukhtayev A. A dynamical approach to semilinear elliptic equations Annales De L'Institut Henri Poincaré C, Analyse Non LinéAire. DOI: 10.1016/J.Anihpc.2020.08.001 |
0.758 |
|
2019 |
Latushkin Y, Vasudevan S. Stability criteria for the 2D α-Euler equations Journal of Mathematical Analysis and Applications. 472: 1631-1659. DOI: 10.1016/J.Jmaa.2018.12.015 |
0.349 |
|
2019 |
Berkolaiko G, Latushkin Y, Sukhtaiev S. Limits of quantum graph operators with shrinking edges Advances in Mathematics. 352: 632-669. DOI: 10.1016/J.Aim.2019.06.017 |
0.344 |
|
2019 |
Blumenthal A, Latushkin Y. The Selgrade Decomposition for Linear Semiflows on Banach Spaces Journal of Dynamics and Differential Equations. 31: 1427-1456. DOI: 10.1007/S10884-018-9648-0 |
0.382 |
|
2018 |
Beck M, Cox G, Jones C, Latushkin Y, McQuighan K, Sukhtayev A. Instability of pulses in gradient reaction-diffusion systems: a symplectic approach. Philosophical Transactions. Series a, Mathematical, Physical, and Engineering Sciences. 376. PMID 29507172 DOI: 10.1098/Rsta.2017.0187 |
0.751 |
|
2018 |
Howard P, Latushkin Y, Sukhtayev A. The Maslov and Morse indices for system Schroedinger operators on \mathBB{R} Indiana University Mathematics Journal. 67: 1765-1815. DOI: 10.1512/Iumj.2018.67.7462 |
0.364 |
|
2018 |
Ghazaryan A, Latushkin Y, Yang X. Stability of a Planar Front in a Class of Reaction-Diffusion Systems Siam Journal On Mathematical Analysis. 50: 5569-5615. DOI: 10.1137/17M1161592 |
0.375 |
|
2018 |
Latushkin Y, Sukhtaiev S. The Maslov index and the spectra of second order elliptic operators Advances in Mathematics. 329: 422-486. DOI: 10.1016/J.Aim.2018.02.027 |
0.474 |
|
2018 |
Latushkin Y, Sukhtaiev S, Sukhtayev A. The Morse and Maslov indices for Schrödinger operators Journal D Analyse Mathematique. 135: 345-387. DOI: 10.1007/S11854-018-0043-X |
0.781 |
|
2018 |
Latushkin Y, Vasudevan S. Eigenvalues of the Linearized 2D Euler Equations via Birman–Schwinger and Lin’s Operators Journal of Mathematical Fluid Mechanics. 20: 1667-1680. DOI: 10.1007/S00021-018-0383-4 |
0.467 |
|
2018 |
Ghazaryan A, Latushkin Y, Pogan A. Spectrum of Non-planar Traveling Waves Integral Equations and Operator Theory. 90: 30. DOI: 10.1007/S00020-018-2447-5 |
0.43 |
|
2017 |
Latushkin Y, Schnaubelt R, Yang X. Stable foliations near a traveling front for reaction diffusion systems Discrete and Continuous Dynamical Systems-Series B. 22: 3145-3165. DOI: 10.3934/Dcdsb.2017168 |
0.455 |
|
2017 |
Howard P, Latushkin Y, Sukhtayev A. The Maslov index for Lagrangian pairs on R2n Journal of Mathematical Analysis and Applications. 451: 794-821. DOI: 10.1016/J.Jmaa.2017.02.022 |
0.739 |
|
2017 |
Latushkin Y, Sukhtayev A. Hadamard-type formulas via the Maslov form Journal of Evolution Equations. 17: 443-472. DOI: 10.1007/S00028-016-0354-2 |
0.754 |
|
2016 |
Cox G, Jones CKRT, Latushkin Y, Sukhtayev A. The Morse and Maslov indices for multidimensional Schrödinger operators with matrix-valued potentials Transactions of the American Mathematical Society. 368: 8145-8207. DOI: 10.1090/Tran/6801 |
0.782 |
|
2016 |
Jones CKRT, Latushkin Y, Sukhtaiev S. Counting spectrum via the Maslov index for one dimensional -periodic Schrödinger operators Arxiv: Spectral Theory. 145: 363-377. DOI: 10.1090/Proc/13192 |
0.486 |
|
2015 |
Kawan C, Latushkin Y. Some results on the entropy of non-autonomous dynamical systems Dynamical Systems. 1-29. DOI: 10.1080/14689367.2015.1111299 |
0.328 |
|
2015 |
Latushkin Y, Pogan A. The infinite dimensional Evans function Journal of Functional Analysis. 268: 1509-1586. DOI: 10.1016/J.Jfa.2014.11.020 |
0.536 |
|
2014 |
Johnson R, Latushkin Y, Schnaubelt R. Reduction Principle and Asymptotic Phase for Center Manifolds of Parabolic Systems with Nonlinear Boundary Conditions Journal of Dynamics and Differential Equations. 26: 243-266. DOI: 10.1007/S10884-014-9360-7 |
0.415 |
|
2014 |
Beyn WJ, Latushkin Y, Rottmann-Matthes J. Finding Eigenvalues of Holomorphic Fredholm Operator Pencils Using Boundary Value Problems and Contour Integrals Integral Equations and Operator Theory. 78: 155-211. DOI: 10.1007/S00020-013-2117-6 |
0.533 |
|
2013 |
Latushkin Y, Yurov V. Stability estimates for semigroups on banach spaces Discrete and Continuous Dynamical Systems- Series A. 33: 5203-5216. DOI: 10.3934/Dcds.2013.33.5203 |
0.636 |
|
2012 |
Latushkin Y, Sukhtayev A. The Evans function and the Weyl-Titchmarsh function Discrete and Continuous Dynamical Systems - Series S. 5: 939-970. DOI: 10.3934/Dcdss.2012.5.939 |
0.751 |
|
2011 |
Ghazaryan A, Latushkin Y, Schecter S. Stability of traveling waves for degenerate systems of reaction diffusion equations Indiana University Mathematics Journal. 60: 443-472. DOI: 10.1512/Iumj.2011.60.4069 |
0.491 |
|
2011 |
Gesztesy F, Latushkin Y, Makarov KA, Sukochev F, Tomilov Y. The index formula and the spectral shift function for relatively trace class perturbations Advances in Mathematics. 227: 319-420. DOI: 10.1016/J.Aim.2011.01.022 |
0.404 |
|
2011 |
Das M, Latushkin Y. Derivatives of the Evans function and (modified) Fredholm determinants for first order systems Mathematische Nachrichten. 284: 1592-1638. DOI: 10.1002/Mana.201000074 |
0.479 |
|
2010 |
Ghazaryan A, Latushkin Y, Schecter S. Stability of traveling waves for a class of reaction-diffusion systems that arise in chemical reaction models Siam Journal On Mathematical Analysis. 42: 2434-2472. DOI: 10.1137/100786204 |
0.346 |
|
2010 |
Latushkin Y, Sukhtayev A. The algebraic multiplicity of eigenvalues and the evans function revisited Mathematical Modelling of Natural Phenomena. 5: 269-292. DOI: 10.1051/Mmnp/20105412 |
0.798 |
|
2010 |
Ghazaryan A, Latushkin Y, Schecter S, de Souza AJ. Stability of Gasless Combustion Fronts in One-Dimensional Solids Archive For Rational Mechanics and Analysis. 198: 981-1030. DOI: 10.1007/S00205-010-0358-Y |
0.461 |
|
2009 |
Shvydkoy R, Latushkin Y. Operator algebras and the Fredholm spectrum of advective equations of linear hydrodynamics Journal of Functional Analysis. 257: 3309-3328. DOI: 10.1016/J.Jfa.2009.06.006 |
0.492 |
|
2008 |
Latushkin Y, Prüss J, Schnaubelt R. Center manifolds and dynamics near equilibria of quasilinear parabolic systems with fully nonlinear boundary conditions Discrete and Continuous Dynamical Systems - Series B. 9: 595-633. DOI: 10.3934/Dcdsb.2008.9.595 |
0.435 |
|
2008 |
Gesztesy F, Latushkin Y, Zumbrun K. Derivatives of (modified) Fredholm determinants and stability of standing and traveling waves Journal Des Mathematiques Pures Et Appliquees. 90: 160-200. DOI: 10.1016/J.Matpur.2008.04.001 |
0.457 |
|
2008 |
Latushkin Y, Pogan A. The Dichotomy Theorem for evolution bi-families Journal of Differential Equations. 245: 2267-2306. DOI: 10.1016/J.Jde.2008.01.023 |
0.406 |
|
2008 |
Bátkai A, Eisner T, Latushkin Y. The spectral mapping property of delay semigroups Complex Analysis and Operator Theory. 2: 273-283. DOI: 10.1007/S11785-008-0052-3 |
0.333 |
|
2008 |
Latushkin Y, Pivovarchik V. Scattering in a forked-shaped waveguide Integral Equations and Operator Theory. 61: 365-399. DOI: 10.1007/S00020-008-1597-2 |
0.362 |
|
2007 |
Cramer D, Latushkin Y. Fredholm determinants and the Evans function for difference equations Banach Center Publications. 75: 111-135. DOI: 10.4064/Bc75-0-7 |
0.595 |
|
2007 |
Gesztesy F, Latushkin Y, Makarov KA. Evans functions, jost functions, and fredholm determinants Archive For Rational Mechanics and Analysis. 186: 361-421. DOI: 10.1007/S00205-007-0071-7 |
0.446 |
|
2007 |
Latushkin Y, Pogan A, Schnaubelt R. Dichotomy and Fredholm properties of evolution equations Journal of Operator Theory. 58: 387-414. |
0.358 |
|
2006 |
Latushkin Y, Prüss J, Schnaubelt R. Stable and unstable manifolds for quasilinear parabolic systems with fully nonlinear boundary conditions Journal of Evolution Equations. 6: 537-576. DOI: 10.1007/S00028-006-0272-9 |
0.467 |
|
2005 |
Latushkin Y, Tomilov Y. Fredholm differential operators with unbounded coefficients Journal of Differential Equations. 208: 388-429. DOI: 10.1016/J.Jde.2003.10.018 |
0.49 |
|
2005 |
Latushkin Y, Randolph T, Schnaubelt R. Regularization and frequency-domain stability of well-posed systems Mathematics of Control, Signals, and Systems. 17: 128-151. DOI: 10.1007/S00498-005-0150-Y |
0.441 |
|
2005 |
Shvydkoy R, Latushkin Y. Essential spectrum of the linearized 2D euler equation and lyapunov-oseledets exponents Journal of Mathematical Fluid Mechanics. 7: 164-178. DOI: 10.1007/S00021-004-0114-X |
0.419 |
|
2005 |
Latushkin Y, Räbiger F. Operator valued fourier multipliers and stability of strongly continuous semigroups Integral Equations and Operator Theory. 51: 375-394. DOI: 10.1007/S00020-004-1349-X |
0.417 |
|
2005 |
Gesztesy F, Latushkin Y, Mitrea M, Zinchenko M. Nonselfadjoint operators, infinite determinants, and some applications Russian Journal of Mathematical Physics. 12: 443-471. |
0.308 |
|
2004 |
Latushkin Y, Tomilov Y. Fredholm properties of evolution semigroups Illinois Journal of Mathematics. 48: 999-1020. DOI: 10.1215/Ijm/1258131066 |
0.394 |
|
2004 |
Latushkin Y, Li YC, Stanislavova M. The Spectrum of a Linearized 2D Euler Operator Studies in Applied Mathematics. 112: 259-270. DOI: 10.1111/J.0022-2526.2004.01510.X |
0.747 |
|
2004 |
Cascaval RC, Gesztesy F, Holden H, Latushkin Y. Spectral analysis of darboux transformations for the focusing NLS hierarchy Journal D'Analyse Mathematique. 93: 139-197. DOI: 10.1007/Bf02789306 |
0.349 |
|
2003 |
Gundlach VM, Latushkin Y. A sharp formula for the essential spectral radius of the Ruelle transfer operator on smooth and Hölder spaces Ergodic Theory and Dynamical Systems. 23: 175-191. DOI: 10.1017/S0143385702000962 |
0.375 |
|
2003 |
Latushkin Y, Vishik M. Linear stability in an ideal incompressible fluid Communications in Mathematical Physics. 233: 439-461. DOI: 10.1007/S00220-002-0775-3 |
0.492 |
|
2000 |
Gesztesy F, Jones CKRT, Latushkin Y, Stanislavova M. A spectral mapping theorem and invariant manifolds for nonlinear Schrödinger equations Indiana University Mathematics Journal. 49: 221-243. DOI: 10.1512/Iumj.2000.49.1838 |
0.752 |
|
2000 |
Clark S, Latushkin Y, Montgomery-Smith S, Randolph T. Stability radius and internal versus external stability in Banach spaces: An evolution semigroup approach Siam Journal On Control and Optimization. 38: 1757-1793. DOI: 10.1137/S036301299834212X |
0.429 |
|
1999 |
Latushkin Y, Layton B. The optimal gap condition for invariant manifolds Discrete and Continuous Dynamical Systems. 5: 233-268. DOI: 10.3934/Dcds.1999.5.233 |
0.476 |
|
1999 |
Latushkin Y, Schnaubelt R. Evolution semigroups, translation algebras, and exponential dichotomy of cocycles Journal of Differential Equations. 159: 321-369. DOI: 10.1006/Jdeq.1999.3668 |
0.481 |
|
1998 |
Latushkin Y, Randolph T, Schnaubelt R. Exponential dichotomy and mild solutions of nonautonomous equations in Banach spaces Journal of Dynamics and Differential Equations. 10: 489-510. DOI: 10.1023/A:1022609414870 |
0.441 |
|
1997 |
Gundlach VM, Latushkin Y. Le rayon spectral essentiel de l'opérateur de Ruelle sur des variétés höldériennes Comptes Rendus De L Academie Des Sciences Serie I-Mathematique. 325: 889-894. DOI: 10.1016/S0764-4442(97)80132-2 |
0.315 |
|
1997 |
Campbell J, Latushkin Y. Sharp estimates in Ruelle theorems for matrix transfer operators Communications in Mathematical Physics. 185: 379-396. DOI: 10.1007/S002200050095 |
0.333 |
|
1997 |
Chicone C, Latushkin Y. Center Manifolds for Infinite Dimensional Nonautonomous Differential Equations Journal of Differential Equations. 141: 356-399. DOI: 10.1006/Jdeq.1997.3343 |
0.539 |
|
1996 |
Chicone C, Latushkin Y, Montgomery-Smith S. The annular hull theorems for the kinematic dynamo operator for an ideally conducting fluid Indiana University Mathematics Journal. 45: 361-379. DOI: 10.1512/Iumj.1996.45.1004 |
0.404 |
|
1996 |
Latushkin Y. Spectral properties of weighted composition operators and hyperbolicity of linear skew-product flows Illinois Journal of Mathematics. 40: 21-29. DOI: 10.1215/Ijm/1255986186 |
0.348 |
|
1996 |
Latushkin Y, Montgomery-Smith S, Randolph T. Evolutionary semigroups and dichotomy of linear skew-product flows on locally compact spaces with Banach fibers Journal of Differential Equations. 125: 73-116. DOI: 10.1006/Jdeq.1996.0025 |
0.401 |
|
1996 |
Chicone C, Latushkin Y, Retzloff DG. Chemical reactor dynamics: Stability of steady states Mathematical Methods in the Applied Sciences. 19: 381-400. DOI: 10.1002/(Sici)1099-1476(19960325)19:5<381::Aid-Mma791>3.0.Co;2-S |
0.332 |
|
1995 |
Chicone C, Latushkin Y, Montgomery-Smith S. The spectrum of the kinematic dynamo operator for an ideally conducting fluid Communications in Mathematical Physics. 173: 379-400. DOI: 10.1007/Bf02101239 |
0.441 |
|
1995 |
Latushkin Y, Randolph T. Dichotomy of differential equations on Banach spaces and an algebra of weighted translation operators Integral Equations and Operator Theory. 23: 472-500. DOI: 10.1007/Bf01203919 |
0.398 |
|
1995 |
Latushkin Y, Montgomerysmith S. Evolutionary Semigroups and Lyapunov Theorems in Banach Spaces Journal of Functional Analysis. 127: 173-197. DOI: 10.1006/Jfan.1995.1007 |
0.458 |
|
1994 |
Latushkin Y, Montgomery-Smith S. Lyapunov theorems for banach spaces Bulletin of the American Mathematical Society. 31: 44-49. DOI: 10.1090/S0273-0979-1994-00495-1 |
0.457 |
|
1994 |
Latushkin Y. Green's function, continual weighted composition operators along trajectories, and hyperbolicity of linear extensions for dynamical systems Journal of Dynamics and Differential Equations. 6: 1-21. DOI: 10.1007/Bf02219185 |
0.424 |
|
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