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Found 129 Documents (Results 1–100)

On the asymptotic stability and ultimate boundedness of solutions of a class of nonlinear systems with delay. (English. Russian original) Zbl 1522.34093

Differ. Equ. 59, No. 4, 441-451 (2023); translation from Differ. Uravn. 59, No. 4, 435-445 (2023).
MSC:  34K12 34K20
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Systems with propagation: a bunch of models and a research program. (English) Zbl 1504.93179

Smirnov, Nikolay (ed.) et al., Stability and control processes. Proceedings of the 4th international conference, SCP 2020, dedicated to the memory of Professor Vladimir Zubov, October 5–10, 2020. Cham: Springer. Lect. Notes Control Inf. Sci. – Proc., 185-198 (2022).
MSC:  93C20 93C23
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Smoothness of generalized solutions of the second and third boundary-value problems for strongly elliptic differential-difference equations. (English. Russian original) Zbl 1498.35561

J. Math. Sci., New York 265, No. 5, 823-838 (2022); translation from Sovrem. Mat., Fundam. Napravl. 65, No. 4, 655-671 (2019).
MSC:  35R10 35J25 39A14
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Lyapunov functional method in the stability problem of Volterra integro-differential equations with infinite delay. (English. Russian original) Zbl 1520.70019

Mech. Solids 56, No. 8, 1514-1533 (2021); translation from Prikl. Mat. Mekh. 85, No. 4, 469-493 (2021).
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Bernstein processes, isovectors and mechanics. (English) Zbl 1499.60247

Ugolini, Stefania (ed.) et al., Geometry and invariance in stochastic dynamics. Selected papers based on the presentations at the the conference on random transformations and invariance in stochastic dynamics, Verona, Italy, March 25–29, 2019. Cham: Springer. Springer Proc. Math. Stat. 378, 213-229 (2021).
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The second Lyapunov method for time-delay systems. (English) Zbl 1510.34159

Domoshnitsky, Alexander (ed.) et al., Functional differential equations and applications, FDEA-2019. Proceedings of the 7th international conference, Ariel, Israel, September 22–27, 2019. Singapore: Springer. Springer Proc. Math. Stat. 379, 145-167 (2021).
Reviewer: Cemil Tunç (Van)
MSC:  34K20
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Exponent estimation for stable solutions of a certain class of differential-difference equations. (English. Russian original) Zbl 1491.34075

Russ. Math. 65, No. 12, 56-67 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 12, 67-79 (2021).
MSC:  34K06 34K20 34K25
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On the conditions for oscillation of the solutions to differential equations with aftereffect and generalization of the Koplatadze-Chanturiya theorem. (English. Russian original) Zbl 1471.34133

Sib. Math. J. 61, No. 1, 178-186 (2020); translation from Sib. Mat. Zh. 61, No. 1, 224-233 (2020).
MSC:  34K11 34K06
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Solvability of inhomogeneous autonomous differential equation with aftereffect on the negative semi-axis. (English. Russian original) Zbl 1433.34085

Russ. Math. 63, No. 3, 1-14 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 3, 3-18 (2019).
MSC:  34K06
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Entire solutions of one linear implicit differential-difference equation in Banach spaces. (English. Ukrainian original) Zbl 1418.34162

Ukr. Math. J. 70, No. 8, 1205-1220 (2019); translation from Ukr. Mat. Zh. 70, No. 8, 1044-1057 (2018).
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Oscillating and sign-definite solutions to autonomous functional-differential equations. (English. Russian original) Zbl 1392.34079

J. Math. Sci., New York 230, No. 5, 766-769 (2018); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 132 (2016).
MSC:  34K06 34K11
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Classification of two-parameter autonomous linear systems with delay. (English. Russian original) Zbl 1392.34078

J. Math. Sci., New York 230, No. 5, 724-727 (2018); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 132 (2016).
MSC:  34K06 34K20
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A comparison type theorem for linear neutral fractional systems with distributed delays. (English) Zbl 1465.34090

Pasheva, Vesela (ed.) et al., Proceedings of the 43rd international conference on applications of mathematics in engineering and economics, AMEE’17, Sozopol, Bulgaria, June 8–13, 2017. Melville, NY: American Institute of Physics (AIP). AIP Conf. Proc. 1910, Article 050009, 9 p. (2017).
MSC:  34K40 34K37
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Solvability of an autonomous differential equation with aftereffect on the negative semi-axis. (English. Russian original) Zbl 1383.34086

Russ. Math. 61, No. 10, 21-31 (2017); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 10, 26-37 (2017).
MSC:  34K06 34K05
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Operator Bruwier series and initial problem for a linear differential-difference equation in a Banach space. (English. Russian original) Zbl 1381.30021

J. Math. Sci., New York 226, No. 4, 335-343 (2017); translation from Probl. Mat. Anal. 89, 3-10 (2017).
MSC:  30D15 34M05
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Characteristic boundary-value problem for a system of first-order partial differential equations with shifted arguments of the desired function. (English. Russian original) Zbl 1329.35113

Russ. Math. 59, No. 7, 56-61 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 7, 63-68 (2015).
MSC:  35F45 35R10
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Characteristic boundary value problem for a fourth-order equation with a pseudoparabolic operator and with shifted arguments of the unknown function. (English. Russian original) Zbl 1332.35150

Differ. Equ. 51, No. 3, 426-429 (2015); translation from Differ. Uravn. 51, No. 3, 421-424 (2015).
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Asymptotics of regularized solutions of an ill-posed Cauchy problem for an autonomous linear system of differential equations with commensurable delays. (English. Russian original) Zbl 1376.34060

Proc. Steklov Inst. Math. 287, Suppl. 1, S55-S67 (2014); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 19, No. 4, 107-118 (2013).
MSC:  34K05 34K06
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Problems with normal derivatives in the boundary conditions for a hyperbolic equation with deviating arguments of the unknown function. (English. Russian original) Zbl 1295.35305

Differ. Equ. 50, No. 2, 226-231 (2014); translation from Differ. Uravn. 50, No. 2, 223-228 (2014).
MSC:  35L20
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Guarantee optimization in functional-differential systems with a control aftereffect. (English. Russian original) Zbl 1423.49031

J. Appl. Math. Mech. 76, No. 4, 369-377 (2012); translation from Prikl. Mat. Mekh. 76, No. 4, 515-525 (2012).
MSC:  49M20 91G80
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Two-sided bounds for the largest Lyapunov exponent and exponential stability criteria for nonlinear systems with arbitrary delays. (English. Russian original) Zbl 1307.34089

Autom. Remote Control 73, No. 1, 74-82 (2012); translation from Avtom. Telemekh. 2012, No. 1, 82-91 (2012).
MSC:  34D20
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On a method of approximation of solutions to delay differential equations. (English. Russian original) Zbl 1207.34094

Sib. Math. J. 51, No. 3, 419-434 (2010); translation from Sib. Mat. Zh. 51, No. 3, 528-546 (2010).
MSC:  34K28 34K05
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On the relationship between solutions of delay differential equations and infinite-dimensional systems of differential equations. (English. Russian original) Zbl 1189.34120

Differ. Equ. 45, No. 1, 33-45 (2009); translation from Differ. Uravn. 45, No. 1, 34-46 (2009).
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