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Found 1,127 Documents (Results 1–100)

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Suleimanov, B. I.

Isomonodromic quantization of the second Painlevé equation by means of conservative Hamiltonian systems with two degrees of freedom. (English. Russian original) Zbl 07618896

St. Petersbg. Math. J. 33, No. 6, 995-1009 (2022); translation from Algebra Anal. 33, No. 6, 141-161 (2021).
MSC:  37J65 34M55 34M25 34M30 34M56 35Q55 81S08
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\textit{B. I. Suleimanov}, St. Petersbg. Math. J. 33, No. 6, 995--1009 (2022; Zbl 07618896); translation from Algebra Anal. 33, No. 6, 141--161 (2021)
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Chen, Guoting; Lastra, Alberto; Malek, Stéphane

Some notes on the parametric Gevrey asymptotics in two complex time variables through truncated Laplace transforms. (English) Zbl 1494.35066

Filipuk, Galina (ed.) et al., Formal and analytic solutions of differential equations. Selected contributions based on the presentations at the conference, virtual, June 29 – July 3, 2020. Singapore: World Scientific. 363-378 (2022).
Reviewer: Pascal Remy (Carrières-sur-Seine)
MSC:  35C10 35C20 44A10
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\textit{G. Chen} et al., in: Formal and analytic solutions of differential equations. Selected contributions based on the presentations at the conference, virtual, June 29 -- July 3, 2020. Singapore: World Scientific. 363--378 (2022; Zbl 1494.35066)
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Carrillo, Sergio A.; Hurtado, Carlos A.

Formal \(P\)-Gevrey series solutions of first-order holomorphic PDEs. (English) Zbl 07533058

Filipuk, Galina (ed.) et al., Formal and analytic solutions of differential equations. Selected contributions based on the presentations at the conference, virtual, June 29 – July 3, 2020. Singapore: World Scientific. 325-362 (2022).
MSC:  35C10 35F20
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\textit{S. A. Carrillo} and \textit{C. A. Hurtado}, in: Formal and analytic solutions of differential equations. Selected contributions based on the presentations at the conference, virtual, June 29 -- July 3, 2020. Singapore: World Scientific. 325--362 (2022; Zbl 07533058)
Full Text: DOI arXiv
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Ostrovsky, Lev

Slowly varying oscillations and waves. From basics to modernity. (English) Zbl 1496.35003

Beijing: Higher Education Press; Singapore: World Scientific (ISBN 978-981-12-4748-4/hbk; 978-981-12-4750-7/ebook). xxiii, 347 p. (2022).
MSC:  35-02 34C15 34C26 34D06 34E20 35C08 35C10 35B15 35B20 35C20
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\textit{L. Ostrovsky}, Slowly varying oscillations and waves. From basics to modernity. Beijing: Higher Education Press; Singapore: World Scientific (2022; Zbl 1496.35003)
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Ecalle, J.

Resurgent analysis of singularly perturbed differential systems: exit Stokes, enter tes. (English) Zbl 1501.35027

Manuilov, Vladimir M. (ed.) et al., Differential equations on manifolds and mathematical physics. Dedicated to the memory of Boris Sternin. Selected papers based on the presentations of the conference on partial differential equations and applications, Moscow, Russia, November 6–9, 2018. Cham: Birkhäuser. Trends Math., 103-129 (2021).
MSC:  35B25 35C10 34M40 34A34
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\textit{J. Ecalle}, in: Differential equations on manifolds and mathematical physics. Dedicated to the memory of Boris Sternin. Selected papers based on the presentations of the conference on partial differential equations and applications, Moscow, Russia, November 6--9, 2018. Cham: Birkhäuser. 103--129 (2021; Zbl 1501.35027)
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Filipuk, Galina; Kecker, Thomas; Zullo, Federico

On a regularisation of a nonlinear differential equation related to the non-homogeneous Airy equation. (English) Zbl 1496.34128

Walczak, Szymon (ed.), Proceedings of the contemporary mathematics in Kielce 2020, Kielce, Poland, February 24–27, 2021. Warsaw: De Gruyter/Sciendo. 99-106 (2021).
Reviewer: Robert Conte (Gif-sur-Yvette)
MSC:  34M04 34M35 34M55 33C10 34M25
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\textit{G. Filipuk} et al., in: Proceedings of the contemporary mathematics in Kielce 2020, Kielce, Poland, February 24--27, 2021. Warsaw: De Gruyter/Sciendo. 99--106 (2021; Zbl 1496.34128)
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Khakimova, Zilya Nail’evna; Timofeeva, Larisa Nikolaevna; Zaĭtsev, Oleg Valentinovich

Polynomial solutions of fractional polynomial differential equations generated by the second Painlevé equation. (Russian. English summary) Zbl 1483.34123

Differ. Uravn. Protsessy Upr. 2021, No. 3, 141-152 (2021).
Reviewer: Dmitry Artamonov (Moskva)
MSC:  34M55 34M25 34C14
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\textit{Z. N. Khakimova} et al., Differ. Uravn. Protsessy Upr. 2021, No. 3, 141--152 (2021; Zbl 1483.34123)
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Zelaya, Kevin; Hussin, Véronique

Point transformations: exact solutions of the quantum time-dependent mass nonstationary oscillator. (English) Zbl 1471.81024

Paranjape, M. B. (ed.) et al., Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1–5, 2019. Cham: Springer. CRM Ser. Math. Phys., 295-303 (2021).
MSC:  81Q05 35Q41 81Q10 81U15 14D15 81R05
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\textit{K. Zelaya} and \textit{V. Hussin}, in: Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1--5, 2019. Cham: Springer. 295--303 (2021; Zbl 1471.81024)
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Tsegel’nik, V. V.

Properties of solutions of two second-order differential equations with the Painlevé property. (English. Russian original) Zbl 1476.37079

Theor. Math. Phys. 206, No. 3, 315-320 (2021); translation from Teor. Mat. Fiz. 206, No. 3, 361-367 (2021).
Reviewer: Mengkun Zhu (Jinan)
MSC:  37J65 34M55 34M25
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\textit{V. V. Tsegel'nik}, Theor. Math. Phys. 206, No. 3, 315--320 (2021; Zbl 1476.37079); translation from Teor. Mat. Fiz. 206, No. 3, 361--367 (2021)
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Nesterov, A. V.

The effect of weak mutual diffusion on transport processes in a multiphase medium. (English. Russian original) Zbl 1462.35036

Comput. Math. Math. Phys. 61, No. 3, 494-503 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 3, 519-528 (2021).
MSC:  35B25 35C20 35Q53
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\textit{A. V. Nesterov}, Comput. Math. Math. Phys. 61, No. 3, 494--503 (2021; Zbl 1462.35036); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 3, 519--528 (2021)
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Boreale, Michele

Automatic pre- and postconditions for partial differential equations. (English) Zbl 1486.35128

Gribaudo, Marco (ed.) et al., Quantitative evaluation of systems. 17th international conference, QEST 2020, Vienna, Austria, August 31 – September 3, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12289, 193-210 (2020).
MSC:  35C10 35A35 35G55 68W30
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\textit{M. Boreale}, Lect. Notes Comput. Sci. 12289, 193--210 (2020; Zbl 1486.35128)
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Noumi, Masatoshi

On some explicit representations of the elliptic Painlevé equation. (English) Zbl 1464.37066

Nijhoff, Frank (ed.) et al., Asymptotic, algebraic and geometric aspects of integrable systems. In honor of Nalini Joshi on her 60th birthday. Selected papers of the workshop, TSIMF, Sanya, China, April 9–13, 2018. Cham: Springer. Springer Proc. Math. Stat. 338, 191-212 (2020).
Reviewer: Vladimir P. Kostov (Nice)
MSC:  37J65 34M04 34M25 34M55
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\textit{M. Noumi}, Springer Proc. Math. Stat. 338, 191--212 (2020; Zbl 1464.37066)
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Kurdyumov, Vitaliĭ Pavlovich; Khromov, Avgust Petrovich; Khalova, Viktoriya Anatol’evna

Mixed problem for a homogeneous wave equation with a nonzero initial velocity and a summable potential. (Russian. English summary) Zbl 1456.35125

Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 20, No. 4, 444-456 (2020).
MSC:  35L20 35L05 35C10
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\textit{V. P. Kurdyumov} et al., Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 20, No. 4, 444--456 (2020; Zbl 1456.35125)
Full Text: DOI MNR
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Varin, V. P.

Computation of periodic solutions to pendulum type systems with a small parameter. (English. Russian original) Zbl 1459.34107

Comput. Math. Math. Phys. 60, No. 12, 1990-2006 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 12, 2055-2072 (2020).
MSC:  34C25 34A45 34A25 34E10 37C60 34C15 68W30
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\textit{V. P. Varin}, Comput. Math. Math. Phys. 60, No. 12, 1990--2006 (2020; Zbl 1459.34107); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 12, 2055--2072 (2020)
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Abramov, S. A.; Ryabenko, A. A.; Khmelnov, D. E.

Truncated series and formal exponential-logarithmic solutions of linear ordinary differential equations. (English. Russian original) Zbl 07282628

Comput. Math. Math. Phys. 60, No. 10, 1609-1620 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 10, 1664-1675 (2020).
MSC:  65L99 34M25
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\textit{S. A. Abramov} et al., Comput. Math. Math. Phys. 60, No. 10, 1609--1620 (2020; Zbl 07282628); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 10, 1664--1675 (2020)
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Brezinski, Claude; Redivo-Zaglia, Michela

Extrapolation and rational approximation. The works of the main contributors. (English) Zbl 1477.65006

Cham: Springer (ISBN 978-3-030-58417-7/hbk; 978-3-030-58420-7/pbk; 978-3-030-58418-4/ebook). viii, 406 p. (2020).
Reviewer: Manfred Tasche (Rostock)
MSC:  65-02 65-03 65B05 40A15 41A20 65F10 65H10
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\textit{C. Brezinski} and \textit{M. Redivo-Zaglia}, Extrapolation and rational approximation. The works of the main contributors. Cham: Springer (2020; Zbl 1477.65006)
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Ni, M. K.; Qi, X. T.; Levashova, N. T.

Internal layer for a singularly perturbed equation with discontinuous right-hand side. (English. Russian original) Zbl 1458.34104

Differ. Equ. 56, No. 10, 1276-1284 (2020); translation from Differ. Uravn. 56, No. 10, 1310-1317 (2020).
Reviewer: Robert Vrabel (Trnava)
MSC:  34E15 34B15 34E05 34A36
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\textit{M. K. Ni} et al., Differ. Equ. 56, No. 10, 1276--1284 (2020; Zbl 1458.34104); translation from Differ. Uravn. 56, No. 10, 1310--1317 (2020)
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Varin, V. P.

Nonlocal singularities on families of periodic solutions to ordinary differential equations. (English. Russian original) Zbl 1459.34106

Comput. Math. Math. Phys. 60, No. 1, 53-64 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 1, 57-69 (2020).
Reviewer: Alexey O. Remizov (Moskva)
MSC:  34C25 68W30 32S65
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\textit{V. P. Varin}, Comput. Math. Math. Phys. 60, No. 1, 53--64 (2020; Zbl 1459.34106); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 1, 57--69 (2020)
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Ichinobe, Kunio; Adachi, Shunya

On \(k\)-summability of formal solutions to the Cauchy problems for some linear \(q\)-difference-differential equations. (English) Zbl 1443.35020

Filipuk, Galina (ed.) et al., Complex differential and difference equations. Proceedings of the school and conference held at Będlewo, Poland, September 2–15, 2018. Berlin: De Gruyter. De Gruyter Proc. Math., 447-462 (2020).
MSC:  35C10 33D15
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\textit{K. Ichinobe} and \textit{S. Adachi}, in: Complex differential and difference equations. Proceedings of the school and conference held at Będlewo, Poland, September 2--15, 2018. Berlin: De Gruyter. 447--462 (2020; Zbl 1443.35020)
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Izumi, Hideaki

Formal solutions to ordinary differential equation via dimensioned numbers. (English) Zbl 1448.34160

Filipuk, Galina (ed.) et al., Complex differential and difference equations. Proceedings of the school and conference held at Będlewo, Poland, September 2–15, 2018. Berlin: De Gruyter. De Gruyter Proc. Math., 379-389 (2020).
MSC:  34M25
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\textit{H. Izumi}, in: Complex differential and difference equations. Proceedings of the school and conference held at Będlewo, Poland, September 2--15, 2018. Berlin: De Gruyter. 379--389 (2020; Zbl 1448.34160)
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Takei, Yoshitsugu

On the instanton-type expansions for Painlevé transcendents and elliptic functions. (English) Zbl 1444.33013

Filipuk, Galina (ed.) et al., Complex differential and difference equations. Proceedings of the school and conference held at Będlewo, Poland, September 2–15, 2018. Berlin: De Gruyter. De Gruyter Proc. Math., 365-377 (2020).
MSC:  33E17 33E05 34C20 34M25 34M60 37J40
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\textit{Y. Takei}, in: Complex differential and difference equations. Proceedings of the school and conference held at Będlewo, Poland, September 2--15, 2018. Berlin: De Gruyter. 365--377 (2020; Zbl 1444.33013)
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Kamimoto, Shingo

Convolution product and resurgence. (English) Zbl 1451.34109

Filipuk, Galina (ed.) et al., Complex differential and difference equations. Proceedings of the school and conference held at Będlewo, Poland, September 2–15, 2018. Berlin: De Gruyter. De Gruyter Proc. Math., 219-241 (2020).
Reviewer: Pascal Remy (Carrières-sur-Seine)
MSC:  34M30 34M25 34M40
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\textit{S. Kamimoto}, in: Complex differential and difference equations. Proceedings of the school and conference held at Będlewo, Poland, September 2--15, 2018. Berlin: De Gruyter. 219--241 (2020; Zbl 1451.34109)
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