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Found 70 Documents (Results 1–70)

Operator hypergeometric functions. (English. Russian original) Zbl 07712798

J. Math. Sci., New York 272, No. 5, 658-666 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 174, 37-45 (2020).
MSC:  34G10 33C20
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On the relationship between the solutions of an abstract Euler-Poisson-Darboux equation and fractional powers of the operator coefficient in the equation. (English. Russian original) Zbl 1496.35156

Differ. Equ. 58, No. 5, 577-592 (2022); translation from Differ. Uravn. 58, No. 5, 575-590 (2022).
MSC:  35C15 34G10 47D09
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Uniqueness criterion for the solution of boundary-value problems for the abstract Euler-Poisson-Darboux equation on a finite interval. (English. Russian original) Zbl 1476.34132

Math. Notes 109, No. 6, 867-875 (2021); translation from Mat. Zametki 109, No. 6, 821-831 (2021).
MSC:  34G10 34B09 34B15
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On the solvability of boundary value problems for an abstract Bessel-Struve equation. (English. Russian original) Zbl 1451.34082

Differ. Equ. 55, No. 8, 1069-1076 (2019); translation from Differ. Uravn. 55, No. 8, 1103-1110 (2019).
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An operator formula for the shift of the solution of the Cauchy problem for an abstract Euler-Poisson-Darboux equation. (English. Russian original) Zbl 1431.34075

Math. Notes 105, No. 5, 649-656 (2019); translation from Mat. Zametki 105, No. 5, 656-665 (2019).
MSC:  34G10 34A12
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Solution of a boundary value problem for velocity-linearized Navier-Stokes equations in the case of a heated spherical solid particle settling in fluid. (English. Russian original) Zbl 1404.35327

Comput. Math. Math. Phys. 58, No. 7, 1132-1141 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 7 (2018).
MSC:  35Q30 76D05 35A02 80A20
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Criterion for the solvability of the weighted Cauchy problem for an abstract Euler-Poisson-Darboux equation. (English. Russian original) Zbl 1403.34043

Differ. Equ. 54, No. 5, 622-632 (2018); translation from Differ. Uravn. 54, No. 5, 627-637 (2018).
MSC:  34G10 34A12 47D06
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Zubarev’s nonequilibrium statistical operator method in the generalized statistics of multiparticle systems. (English. Russian original) Zbl 1393.82015

Theor. Math. Phys. 194, No. 1, 57-73 (2018); translation from Teor. Mat. Fiz. 194, No. 1, 71-89 (2018).
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Investigation of boundary-value problem for slow flow of a sphere by viscous non-isothermal gas. (English. Russian original) Zbl 1433.76147

Russ. Math. 60, No. 12, 43-53 (2016); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2016, No. 12, 54-65 (2016).
MSC:  76N15
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Criterion for the solvability of the Cauchy problem for an abstract Euler-Poisson-Darboux equation. (English. Russian original) Zbl 1345.35069

Differ. Equ. 52, No. 1, 39-57 (2016); translation from Differ. Uravn. 52, No. 1, 41-59 (2016).
MSC:  35Q05 26A33 34K06
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On the solvability of an abstract differential equation of fractional order with a variable operator. (English. Russian original) Zbl 1317.34011

J. Math. Sci., New York 202, No. 5, 637-652 (2014); translation from Sovrem. Mat., Fundam. Napravl. 47, 18-32 (2013).
MSC:  34A08 34G10 34A12
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Solution of the boundary value problem for the Navier-Stokes equation for the flow of a gaseous medium past a heated spheroid. (English. Russian original) Zbl 1256.35063

Differ. Equ. 48, No. 6, 886-890 (2012); translation from Differ. Uravn. 48, No. 6, 879-883 (2012).
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Direct and inverse problems for an abstract differential equation containing Hadamard fractional derivatives. (English. Russian original) Zbl 1273.34067

Differ. Equ. 47, No. 9, 1307-1317 (2011); translation from Differ. Uravn. 47, No. 9, 1294-1304 (2011).
MSC:  34G10 34A08 34A55
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On perturbations of abstract fractional differential equations by nonlinear operators. (English. Russian original) Zbl 1305.34007

J. Math. Sci., New York 170, No. 3, 306-323 (2010); translation from Sovrem. Mat., Fundam. Napravl. 35, 5-21 (2010).
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Perturbation of an abstract differential equation containing fractional Riemann-Liouville derivatives. (English. Russian original) Zbl 1214.34004

Differ. Equ. 46, No. 6, 867-881 (2010); translation from Differ. Uravn. 46, No. 6, 859-873 (2010).
MSC:  34A08 34G10 34A12
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Correctness of Cauchy-type problems for abstract differential equations with fractional derivatives. (English. Russian original) Zbl 1177.47090

Russ. Math. 53, No. 9, 10-19 (2009); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2009, No. 9, 13-24 (2009).
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On the properties of a Cauchy-type problem for an abstract differential equation with fractional derivatives. (English. Russian original) Zbl 1160.34053

Math. Notes 82, No. 5, 596-607 (2007); translation from Mat. Zametki 82, No. 5, 665-677 (2007).
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Numerical solution of the linear inverse problem for the Euler-Darboux equation. (Russian. English summary) Zbl 07811608

Zh. Vychisl. Mat. Mat. Fiz. 46, No. 5, 848-857 (2006); translation in Comput. Math. Math. Phys. 46, No. 5, 810-819 (2006).
MSC:  35R30
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Stabilization of the solution of the Cauchy problem for an abstract differential equation of first order. (English. Russian original) Zbl 1036.34071

Russ. Math. 45, No. 11, 1-11 (2001); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2001, No. 11, 3-13 (2001).
MSC:  34G10 34D05 47D06
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An abstract Euler-Poisson-Darboux equation containing powers of an unbounded operator. (English. Russian original) Zbl 1001.34048

Differ. Equ. 37, No. 5, 743-746 (2001); translation from Differ. Uravn. 37, No. 5, 706-709 (2001).
MSC:  34G10 47N20
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On the asymptotic proximity of the solutions of a Cauchy problem for first-order differential equations in a Banach space. (English. Russian original) Zbl 0906.34044

Russ. Math. 41, No. 7, 14-17 (1997); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1997, No. 7 (422), 12-15 (1997).
MSC:  34G10
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General solution of a hyperbolic equation arising in the study of motion with random acceleration. (English. Russian original) Zbl 0927.60096

Theory Probab. Math. Stat. 55, 49-53 (1997); translation from Teor. Jmovirn. Mat. Stat. 55, 50-54 (1996).
MSC:  60K99
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A necessary and sufficient stabilization condition for the solution to the Cauchy problem for an equation with operator coefficients. (English. Russian original) Zbl 0852.34061

Differ. Equations 30, No. 7, 1030-1036 (1994); translation from Differ. Uravn. 30, No. 7, 1111-1117 (1994).
MSC:  34G10 34A12
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Integral representation of solutions for one singular equation containing the sum of commuting operators. (English. Russian original) Zbl 0829.34046

Differ. Equations 28, No. 5, 676-682 (1992); translation from Differ. Uravn. 28, No. 5, 831-838 (1992).
MSC:  34G10 34A05
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On stabilization of a solution of the Cauchy problem for a first-order differential equation in a Banach space. (English. Russian original) Zbl 0796.34040

Russ. Acad. Sci., Dokl., Math. 46, No. 2, 245-247 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 326, No. 2, 224-226 (1992).
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