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Found 119 Documents (Results 1–100)

Method of local linear approximation in the theory of nonlinear impulsive systems. (English. Ukrainian original) Zbl 07730055

Ukr. Math. J. 75, No. 1, 118-137 (2023); translation from Ukr. Mat. Zh. 75, No. 1, 105-120 (2023).
MSC:  34G20 34A37 34C11
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Application of the Green-Samoilenko function and operator to the investigation of non-Lipschitz differential equations. (English. Ukrainian original) Zbl 1528.34040

Ukr. Math. J. 73, No. 12, 1937-1957 (2022); translation from Ukr. Mat. Zh. 73, No. 12, 1673-1690 (2021).
MSC:  34C45
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Equations whose sets of solutions are invariant under a group of mappings isomorphic to a one-parameter group of rotations. (English. Ukrainian original) Zbl 1481.34048

J. Math. Sci., New York 256, No. 5, 689-702 (2021); translation from Neliniĭni Kolyvannya 23, No. 1, 112-123 (2020).
MSC:  34C14 34D20 34C11
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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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On the Favard theory without \(\mathcal{H}\)-classes for differential-functional equations in Banach spaces. (English. Ukrainian original) Zbl 1444.34086

Ukr. Math. J. 71, No. 7, 1087-1104 (2019); translation from Ukr. Mat. Zh. 71, No. 7, 952-967 (2019).
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Necessary and sufficient conditions for the absolute instability of solutions of linear differential-difference equations with self-adjoint operator coefficients. (English. Ukrainian original) Zbl 1417.34179

Ukr. Math. J. 70, No. 5, 826-836 (2018); translation from Ukr. Mat. Zh. 70, No. 5, 715-724 (2018).
MSC:  34K20 34K06 34K30
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Conditions of solvability for nonlinear differential equations with perturbations of the solutions in the space of functions bounded on the axis. (English. Ukrainian original) Zbl 1499.34237

Ukr. Math. J. 68, No. 9, 1481-1493 (2017); translation from Ukr. Mat. Zh. 68, No. 9, 1286-1296 (2016).
MSC:  34C11
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Necessary and sufficient conditions for the existence and uniqueness of a bounded solution of the equation \(\frac{dx(t)}{dt}=f(x(t)+h_1(t))+h_2(t)\). (English. Russian original) Zbl 1382.34035

Sb. Math. 208, No. 2, 255-268 (2017); translation from Mat. Sb. 208, No. 2, 88-103 (2017).
MSC:  34C11 34C27
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Almost periodic solutions of nonlinear discrete systems that can be not almost periodic in Bochner’s sense. (English. Ukrainian original) Zbl 1335.39022

J. Math. Sci., New York 212, No. 3, 335-348 (2016); translation from Neliniĭni Kolyvannya 17, No. 3, 407-418 (2014).
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Conditions for the existence of almost-periodic solutions of nonlinear difference equations in Banach space. (English. Russian original) Zbl 1323.39014

Math. Notes 97, No. 2, 268-274 (2015); translation from Mat. Zametki 97, No. 2, 277-285 (2015).
Reviewer: Syed Abbas (Mandi)
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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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The study of nonlinear almost periodic differential equations without recourse to the \({\mathcal H}\)-classes of these equations. (English. Russian original) Zbl 1316.34049

Sb. Math. 205, No. 6, 892-911 (2014); translation from Math. Sb. 205, No. 6, 139-160 (2014).
MSC:  34C27 42A75
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Invertibility of the nonlinear operator \((\mathcal Lx)(t)=H\left(x(t),\frac{dx(t)}{dt}\right)\) in the space of functions bounded on the axis. (English. Ukrainian original) Zbl 1277.34119

Nonlinear Oscil., N.Y. 11, No. 3, 442-460 (2008); translation from Nelinijni Kolyvannya 11, No. 3, 421-436 (2008).
MSC:  34L30 47J05
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Necessary and sufficient conditions for the Lipschitz invertibility of the nonlinear differential mapping \(d/dt-f\) in the spaces \(L_ p({\mathbb R},{\mathbb R}), 1\leq p\leq\infty\). (English. Russian original) Zbl 1075.47027

Math. Notes 73, No. 6, 843-854 (2003); translation from Mat. Zametki 73, No. 6, 891-903 (2003).
MSC:  47E05 34L30 46T20
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Conditions for the existence of nonoscillatory solutions of nonlinear differential equations with delay and impulsive perturbation in Banach space. (Ukrainian, English) Zbl 1042.34102

Ukr. Mat. Zh. 55, No. 6, 790-798 (2003); translation in Ukr. Math. J. 55, No. 6, 956-965 (2003).
MSC:  34K30 34K11 34K45
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Necessary and sufficient conditions for the invertibility of the nonlinear differential operator \(d/dt+f\) in the space of bounded functions on the real axis. (Russian) Zbl 1104.34340

Ukrainian mathematical congress – 2001, Kiev, Ukraine, August 21–23, 2001. Proceedings. Section 3. Differential equations and nonlinear oscillation. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2648-9). 138-151 (2002).
MSC:  34L30 47E05
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Necessary and sufficient conditions for the oscillation of solutions to nonlinear differential equations with pulse influence in the Banach space. (English. Russian original) Zbl 0938.34024

Ukr. Math. J. 51, No. 1, 107-118 (1999); translation from Ukr. Mat. Zh. 51, No. 1, 98-109 (1999).
MSC:  34C10 34G20 34A37
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Necessary and sufficient conditions of oscillation of solutions to nonlinear pulse systems with multiplicatively separated right-hand side. (English. Ukrainian original) Zbl 0938.34025

Ukr. Math. J. 47, No. 3, 443-453 (1995); translation from Ukr. Mat. Zh. 47, No. 3, 381-389 (1995).
MSC:  34C10 34A37
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Necessary and sufficient conditions for invertibility of uniformly c- continuous functional-differential operators. (English. Russian original) Zbl 0702.34059

Ukr. Math. J. 41, No. 2, 180-183 (1989); translation from Ukr. Mat. Zh. 41, No. 2, 201-205 (1989).
Reviewer: P.Zabreiko
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