Found 116 Documents (Results 1–100)

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Asymptotic behaviors of solutions of some two order linear ordinary differential equations with variable coefficients. (Chinese. English summary)Zbl 1463.34039

MSC:  34A30 34D05 34A25

On solutions of $$x''=t^{\alpha\lambda-2}x^{1+\alpha}$$ in the unsettled cases. (English)Zbl 1470.34100

MSC:  34C11 34D05
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On solutions of $$x''=t^{-2}x^{1+\alpha}$$ with $$\alpha<0$$. (English)Zbl 1421.34011

MSC:  34A34 34D05
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Power geometry of a non-linear differential equation. (English)Zbl 1418.34026

MSC:  34A25 34A34 34D05
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Asymptotic behaviour of positive solutions of $$x'' = t^{\alpha \lambda - 2} x^{1 + \alpha}$$ where $$\alpha = {\lambda}_0$$ and $$\lambda > 0$$. (English)Zbl 1353.34055

MSC:  34D05 34C11

The solution structure of the Düffing oscillator’s transient response and general solution. (English)Zbl 1347.34056

MSC:  34C15 34D05
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On nonoscillating solutions of Emden-Fowler-type equations. (English. Russian original)Zbl 1320.34078

Math. Notes 95, No. 6, 843-855 (2014); translation from Mat. Zametki 95, No. 6, 911-925 (2014).
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On asymptotic behaviour of positive solutions of $$x^{\prime \prime}\, =\, -t^{\alpha \lambda -2}x^{1+\alpha}$$ with $$\alpha > \lambda_0 , -1<\lambda < 0$$. (English)Zbl 1300.34127

MSC:  34D05 34A12
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Asymptotic solutions of strongly nonlinear systems of differential equations. Transl. of the 2nd Russian original edition by Lester J. Senechal. (English)Zbl 1322.34003

Springer Monographs in Mathematics. Berlin: Springer (ISBN 978-3-642-33816-8/hbk; 978-3-642-33817-5/ebook). xix, 262 p. (2013).
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Theory and examples of ordinary differential equations. (English)Zbl 1241.34001

Series on Concrete and Applicable Mathematics 10. Hackensack, NJ: World Scientific (ISBN 978-981-4307-12-3/hbk). xiii, 540 p. (2011).

Asymptotic expansion of the solution of a second-order equation. (English. Russian original)Zbl 1360.34022

Math. Notes 85, No. 1, 123-127 (2009); translation from Mat. Zametki 85, No. 1, 134-138 (2009).
MSC:  34A30 34D05 34A25
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Nonpower asymptotic forms of solutions to a system of ordinary differential equations. (English. Russian original)Zbl 1157.34304

Dokl. Math. 77, No. 3, 325-328 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 420, No. 1, 7-10 (2008).
MSC:  34A25 34D05
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Structural stability of simplest dynamical inequalities. (English. Russian original)Zbl 1167.34021

Proc. Steklov Inst. Math. 256, 80-91 (2007); translation from Tr. Mat. Inst. Steklova 256, 89-101 (2007).
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Analysis and numerical treatment of highly oscillatory differential equations. (English)Zbl 1144.37447

Genève: Univ. de Genève, Faculté des Sciences (Dissertation). viii, 114 p. (2004).
MSC:  37K05 34C15 34A25 34D05
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Some problems on expansion of functions in double Fourier-Bessel series. (Russian, English)Zbl 1114.41022

Zh. Vychisl. Mat. Mat. Fiz. 44, No. 12, 2128-2149 (2004); translation in Comput. Math. Math. Phys. 44, No. 12, 2024-2044 (2004).

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On solutions of $$x''= t^{\alpha\lambda-2} x^{1+\alpha}$$ starting at some positive $$t$$. (English)Zbl 1061.34006

MSC:  34A34 34A25 34D05
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On Jost-type solutions to quasilinear equations with power nonlinearity. (English. Russian original)Zbl 1025.34044

Proc. Steklov Inst. Math. 236, 319-324 (2002); translation from Tr. Mat. Inst. Steklova 236, 332-337 (2002).
Reviewer: R.S.Dahiya (Ames)
MSC:  34D05 34E20 34A25

A remark on transformation of certain nonlinear differential systems by means of hyperbolic coordinates. (English)Zbl 0978.34007

Haščák, A. (ed.) et al., International scientific conference on mathematics. Proceedings of the conference, Herl’any, Slovakia, October 21-23, 1999. Košice: University of Technology Košice, Faculty of Electrical Engineering and Informatics. 118-121 (2000).

Higher conditional symmetries and reduction of initial value problems for nonlinear evolution equations. (English)Zbl 0957.34005

Proceedings of the third international conference on symmetry in nonlinear mathematical physics, Kyiv, Ukraine, July 12-18, 1999. Part 1. Transl. from the Ukrainian. Kyiv: Institute of Mathematics of NAS of Ukraine. Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 30(1), 255-263 (2000).

Asymptotic representation of solutions of ordinary differential equations with two parameters. (English. Russian original)Zbl 0982.34008

Differ. Equations 35, No. 10, 1454-1457 (1999); translation from Differ. Uravn. 35, No. 10, 1430-1432 (1999).

Stark resonances for random potentials of Anderson type. (English)Zbl 0955.47044

MSC:  47N50 81V70 34L40
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Basic theory of ordinary differential equations. (English)Zbl 0924.34001

Universitext. New York, NY: Springer. xi, 468 p. (1999).

Applications of Lie’s theory of ordinary and partial differential equations. (English)Zbl 0914.34002

Bristol: Institute of Physics Publishing (IOP). xi, 225 p. (1999).

A new method of identifying one-dimensional Lie groups admitted by ordinary differential equation systems. (Chinese. English summary)Zbl 0928.34006

MSC:  34A25 22E15 34A34

Difference of zeros and related quantities and normalization of solutions of differential equations. (English)Zbl 0899.34003

Elaydi, S. (ed.) et al., Advances in difference equations. Proceedings of the 2nd international conference on difference equations, Veszprém, Hungary, August 7–11, 1995. Langhorne, PA: Gordon and Breach Science Publishers. 605-614 (1997).
MSC:  34A25

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The existence of a class of solutions to systems of differential equations with oscillating coefficients in a Banach space. (English. Russian original)Zbl 0884.34068

Differ. Equations 32, No. 4, 578-580 (1996); translation from Differ. Uravn. 32, No. 4, 570-571 (1996).
MSC:  34G20 34A25 42A16

A generalisation of Prüfer’s transformation. (English)Zbl 0842.34027

Reviewer: S.Mazanik (Minsk)
MSC:  34B24 34A25 34C10
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Some algebraic properties of derivatives. (English)Zbl 0916.34007

Rusev, P. (ed.) et al., Transform methods and special functions. Proceedings of the 1st international workshop, Bankya, Bulgaria, August 12–17, 1994. Sofia: SCT Publishing, 8-17 (1995).
MSC:  34A25 44A40

Symmetries of $$2^{nd}$$ and $$3^{rd}$$ order ODE’s. (English)Zbl 0924.34006

Levelt, A. H. M. (ed.), Proceedings of the 1995 international symposium on symbolic and algebraic computation, ISSAC ’95, Montreal, Canada, July 10–12, 1995. New York, NY: ACM Press. 16-25 (1995).

Some equivalent kinetic functions of macrodynamic equations. (English. Russian original)Zbl 0857.34018

Autom. Remote Control 55, No. 11, Pt. 2, 1694-1698 (1994); translation from Avtom. Telemekh. 1994, No. 11, 176-181 (1994).
MSC:  34A25 80A30

Solving some problems in the theory of thin shells of revolution with complex boundary conditions. (English. Russian original)Zbl 0835.73036

J. Math. Sci., New York 69, No. 6, 1437-1442 (1994); translation from Vychisl. Prikl. Mat., Kiev 68, 85-93 (1989).
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Nonlinear chains and Painlevé equations. (English)Zbl 0812.34030

MSC:  34C20 34L40 34A25
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Asymptotic diagonalization of a linear ordinary differential system. (English)Zbl 0806.34009

Reviewer: E.Barvínek (Brno)
MSC:  34A30 34D05 34A25

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Symmetries of second-order differential equations and decoupling. (English)Zbl 0790.34008

Ibragimov, N. Kh. (ed.) et al., Modern group analysis: Advanced analytical and computational methods in mathematical physics. Proceedings of the international workshop Acireale, Catania, Italy, October 27-31, 1992. Dordrecht: Kluwer Academic Publishers. 329-335 (1993).
MSC:  34A25 70H33

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Asymptotic analysis: linear ordinary differential equations. Translated from the Russian by Andrew Rodick. (English)Zbl 0782.34001

Berlin: Springer-Verlag. viii, 363 p. (1993).

An equation of Ince: The confluent Mathieu equation. (English)Zbl 0761.34005

Reviewer: L.Janos (Praha)

Painlevé integrability: Theorems and conjectures. (English)Zbl 0856.34012

Levi, Decio (ed.) et al., Painlevé transcendents: their asymptotics and physical applications. Proceedings of the NATO Advanced Research Workshop, Sainte-Adèle, Canada, September 3-7, 1990. New York, NY: Plenum Press. NATO ASI Ser., Ser. B, Phys. 278, 145-162 (1992).
MSC:  34A25 34A05 34M55

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MSC:  34D05

On a functional integrability and asymptotic properties of some nonlinear ordinary differential equations. (English)Zbl 0807.34060

Farkas, M. (ed.) et al., Differential equations and its applications. Proceedings of the colloquium on differential equations and applications, held in Budapest, August 21-24, 1991. Amsterdam: North-Holland Publishing Company. Colloq. Math. Soc. János Bolyai. 62, 353-358 (1991).
MSC:  34D05 34C10 34A25

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The behavior of solutions of a first-order complex differential equations near a singular point. (English. Russian original)Zbl 0717.34012

Sov. Math. 34, No. 6, 61-64 (1990); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1990, No. 6(337), 51-54 (1990).

Noether invariants and complete Lie-point symmetries for equations of the Hill type. (English)Zbl 1098.58503

MSC:  58J70 34A25
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Bloch electrons in an external electric field. (English)Zbl 0725.34097

Schrödinger operators, standard and non-standard, Proc. Conf., Dubna/USSR 1988, 103-129 (1989).
MSC:  34L40 81Q05

Solution of boundary value problems in the theory of thin shells of revolution in case of complicated boundary conditions. (Russian)Zbl 0717.73050

Reviewer: O.Titow

A class of hybrid integral transforms (Fourier-Legendre, Legendre- Fourier). (Russian. English summary)Zbl 0692.44002

Reviewer: R.P.Boas

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Boundary value problem of scattering theory for the generalized Sturm-Liouville operator. (Russian)Zbl 0701.34034

MSC:  34B24 34L25

Existence theorems for analytic solutions of differential and functional differential equations. (English)Zbl 0685.34066

Reviewer: M.Kisielewicz

On the Schrödinger equations of rotating harmonic, three-dimensional and doubly anharmonic oscillators and a class of confinement potentials in connection with the biconfluent Heun differential equation. (English)Zbl 0617.34013

MSC:  34L99 34A25 34D05
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On the boundary value problem for systems of ordinary second order differential equations with a singularity of the first kind. (English)Zbl 0537.34017

MSC:  34B15 34A05 34A25
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The convolution and operational properties of a finite integral transform related to boundary value problems of the third kind. (Bulgarian. English, Russian summaries)Zbl 0558.44003

Reviewer: N.Bozhinov
MSC:  44A45 34A25 44A35

Analytic solutions of singularly perturbed problems. (English. Russian original)Zbl 0518.34009

Sov. Math., Dokl. 26, 88-91 (1982); translation from Dokl. Akad. Nauk SSSR 265, 529-533 (1982).

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Sturm-Liouville transforms: The finite sine and cosine. (English)Zbl 0521.34007

MSC:  34A25 44A15

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Laplace transforms and applications. (English)Zbl 0453.44007

VNR New Mathematics Library, 10. New York etc.: Van Nostrand Reinhold Company. VIII, 205 p. £8.50 (H/C); £4.00 (1981).

Asymptotic behavior of Caratheodory systems: Anti-Lyapunov method. (English)Zbl 0419.34047

MSC:  34D05 34C11
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Taylor’s formula for many derivatives. Integrals. (English)Zbl 0428.44003

MSC:  44A45 34A25 47A62
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Algebraic properties of phases of the differential equation $$y''=q(t)y$$. (English)Zbl 0423.34013

MSC:  34A25 34A30 34C99
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Über bewegliche Singularitäten eines Systems dreier Differentialgleichungen. (Russian)Zbl 0411.34010

MSC:  34A25 34D05 34M35

On transformations of the discrete operator field. (English)Zbl 0435.44006

MSC:  44A40 34A25

On the asymptotic stability of a system of differential equations with respect to first nonlinear approximation. (Russian)Zbl 0421.34054

Control, reliability and navigation. No. 3, Interuniv. Collect. sci. Works, Saransk, 10-12 (1976).
MSC:  34D05 93D20

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Les transformees de Fourier dans l’équation de Schrödinger à une dimension. (French)Zbl 0343.34009

MSC:  34A25 35J10 42A16

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Über ganze homogene Funktionen. (Bulgarian)Zbl 0342.34038

MSC:  34D20 34A25 26C05

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