## Found 1,127 Documents (Results 1–100)

### Gevrey regularity and summability of the formal power series solutions of the inhomogeneous generalized Boussinesq equations.(English)Zbl 07661136

MSC:  35Q35 76D03 35B65
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### The factorial-basis method for finding definite-sum solutions of linear recurrences with polynomial coefficients.(English)Zbl 07658452

MSC:  33F10 39A06 68W30
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### Gevrey regularity of the solutions of inhomogeneous nonlinear partial differential equations.(English)Zbl 07653408

MSC:  35C10 35G20 35Q53
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### On a nonlocal problem for the first-order differential-operator equations.(English)Zbl 07644468

MSC:  35A08 35C10 47B39
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### 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).
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### Construction of boundary conditions for hyperbolic relaxation approximations. II: Jin-Xin relaxation model.(English)Zbl 1496.35244

MSC:  35L50 35L65 35C20
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### 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).
MSC:  35C10 35C20 44A10
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### 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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### 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).
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### An investigation of the symmetry and singularity properties of classes of third-order fluid problems.(English)Zbl 1481.34105

MSC:  34M25 34M55 70G65
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### Summability of the formal power series solutions of a certain class of inhomogeneous nonlinear partial differential equations with a single level.(English)Zbl 1487.35183

MSC:  35C10 35C20 40B05
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### 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).
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### 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).
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### Existence of a solution of discrete Emden-Fowler equation caused by continuous equation.(English)Zbl 1486.39003

MSC:  39A10 39A22 39A12
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### Versal unfolding of irregular singularities of a linear differential equation on the Riemann sphere.(English)Zbl 1498.34237

MSC:  34M35 34C20 34M25
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### Integrable deformations and degenerations of some irregular singularities.(English)Zbl 1487.34168

MSC:  34M56 32C38 34M35
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### Renormalization group approach to a class of singularly perturbed delay differential equations.(English)Zbl 1473.34029

MSC:  34C14 34M25
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### Polynomial solutions of fractional polynomial differential equations generated by the second Painlevé equation.(Russian. English summary)Zbl 1483.34123

MSC:  34M55 34M25 34C14
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### Gevrey regularity of the solutions of the inhomogeneous partial differential equations with a polynomial semilinearity.(English)Zbl 1472.35090

MSC:  35C10 35G25
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### 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).
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### On Gevrey asymptotics for linear singularly perturbed equations with linear fractional transforms.(English)Zbl 1467.35098

MSC:  35C10 35C20 35B25
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### 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).
MSC:  37J65 34M55 34M25
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### 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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### Estimates of formal solutions for some generalized moment partial differential equations.(English)Zbl 1465.35101

MSC:  35C10 35G10
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### Gevrey estimates of formal solutions for certain moment partial differential equations with variable coefficients.(English)Zbl 1465.35103

MSC:  35C10 35G10
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### Formal Weierstrass integrability for a Liénard differential system.(English)Zbl 1483.34007

MSC:  34A05 34A34
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### On the Borel summability of WKB solutions of certain Schrödinger-type differential equations.(English)Zbl 1472.34158

MSC:  34M30 34M25 34M03
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### On the summability of the solutions of the inhomogeneous heat equation with a power-law nonlinearity and variable coefficients.(English)Zbl 1458.35121

MSC:  35C10 35K58 35K15
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### Boundary layer expansions for initial value problems with two complex time variables.(English)Zbl 1487.35182

MSC:  35C10 35C20
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### Integrability of resonant saddles in a complex differential system.(English)Zbl 1495.34121

MSC:  34M25 34M10
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### Parametric Gevrey asymptotics in two complex time variables through truncated Laplace transforms.(English)Zbl 1485.35116

MSC:  35C10 35C20 44A10
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### 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).
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### 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).
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### Parameterization method for unstable manifolds of standing waves on the line.(English)Zbl 1473.74075

MSC:  74J30 74H10 74H55
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### Asymptotic eigenfunctions for Schrödinger operators on a vector bundle.(English)Zbl 1473.35377

MSC:  35P20 35J10 35C20
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### Mixed problem for a homogeneous wave equation with a nonzero initial velocity and a summable potential.(Russian. English summary)Zbl 1456.35125

MSC:  35L20 35L05 35C10
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### 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).
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### 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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### 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).
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### On the local univalence of nondegenerate holomorphic vector fields. (Sur l’univalence locale des champs de vecteurs holomorphes non-dégénérés.)(English. French summary)Zbl 1494.34192

MSC:  34M45 34M25 32S65
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### 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).
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### 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).
MSC:  34C25 68W30 32S65
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### On the summability of formal solutions of some linear $$q$$-difference-differential equations.(English)Zbl 1447.35115

MSC:  35C20 35C10 39A13
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### Maillet type theorem for nonlinear totally characteristic partial differential equations.(English)Zbl 1445.35113

MSC:  35C10 35G25
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### Solving first order autonomous algebraic ordinary differential equations by places.(English)Zbl 1445.12003

MSC:  12H05 34M25 68W30
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### 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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### 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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### 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).
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### 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).
MSC:  34M30 34M25 34M40
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### Integral representations in complex analysis: from classical results to recent developments.(English)Zbl 1451.32003

Breaz, Daniel (ed.) et al., Advancements in complex analysis. From theory to practice. Cham: Springer. 449-471 (2020).
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### On the convergence of formal exotic series solutions of an ODE.(English)Zbl 1448.34159

MSC:  34M04 34M25 47N20
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### The limits of solutions of a linear delay integral equation.(English)Zbl 1474.45001

MSC:  45A05 45M05
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### Post-Newtonian corrections to Schrödinger equations in gravitational fields.(English)Zbl 1476.83056

Classical Quantum Gravity 36, No. 9, Article ID 095016, 26 p. (2019); corrigendum ibid. 36, No. 24, Article ID 249502, 1 p. (2019).
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