Found 98 Documents (Results 1–98)

100
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Atoms and photons: kinetic equations with delay. (English. Russian original)Zbl 07542515

J. Math. Sci., New York 260, No. 3, 335-370 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 167, 62-96 (2019).
MSC:  65P40
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Investigation on the single and multiple dromions for nonlinear telegraph equation in electrical transmission line. (English)Zbl 1482.35068

MSC:  35C08 35L71
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New hybrid technique for solving three dimensional telegraph equations. (English)Zbl 07527524

MSC:  44A10 35E15 47J30
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New solutions of hyperbolic telegraph equation. (English)Zbl 07447323

MSC:  33E30 34K28 35G05 35G15 65M22 65J15
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On the development of a coupled nonlinear telegraph-diffusion model for image restoration. (English)Zbl 07271183

MSC:  68-XX 94-XX
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Meshfree moving least squares method for nonlinear variable-order time fractional 2D telegraph equation involving Mittag-Leffler non-singular kernel. (English)Zbl 1448.65103

MSC:  65M06 35R11 26A33
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MSC:  35L75

Solutions to non-linear Euler-Poisson-Darboux equations by means of generalized separation of variables. (English)Zbl 1421.35228

MSC:  35L81 35A25
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Chaotic oscillations of a linear hyperbolic PDE with a general nonlinear boundary condition. (English)Zbl 1437.35448

MSC:  35L20 37D45
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MSC:  65M70
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Elliptic-like regularization of a fully nonlinear evolution inclusion and applications. (English)Zbl 1391.34102

MSC:  34G25 35A35
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Numerical simulation of a class of nonlinear wave equations by lattice Boltzmann method. (English)Zbl 1372.65286

MSC:  65M75 35L70 35Q40
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Analytical solution methods for boundary value problems. Translated from the Russian. Revised English edition. (English)Zbl 1375.35001

Amsterdam: Elsevier/Academic Press (ISBN 978-0-12-804289-2/hbk; 978-0-12-804363-9/ebook). xii, 188 p. (2016).
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On the concept of exact solution for nonlinear differential equations of fractional-order. (English)Zbl 1388.35209

MSC:  35R11 35C07 35Q53
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A new solution procedure for the nonlinear telegraph equation. (English)Zbl 07246115

MSC:  65-XX 35-XX
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Optimal homotopy analysis method for nonlinear partial fractional differential equations. (English)Zbl 1407.35211

MSC:  35R11 65M99 34A35
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A new Legendre wavelets decomposition method for solving PDEs. (English)Zbl 1371.49023

MSC:  49M37 30E25
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Initial-boundary value problems for a nonlinear telegraph equation with nonlocal boundary conditions. (Chinese. English summary)Zbl 1313.35349

MSC:  35Q94 65M60

Symbolic computation of nonlocal symmetries and nonlocal conservation laws of partial differential equations using the GeM package for Maple. (English)Zbl 1309.74075

Ganghoffer, Jean-François (ed.) et al., Similarity and symmetry methods. Applications in elasticity and mechanics of materials. Lecture notes given at the EUROMECH workshop ‘Similarity, symmetry and group theoretical methods in mechanics, Varna, Bulgaria, June 6–9, 2013. Cham: Springer (ISBN 978-3-319-08295-0/hbk; 978-3-319-08296-7/ebook). Lecture Notes in Applied and Computational Mechanics 73, 165-184 (2014).
MSC:  74S30 68W30 35L65 35Q74
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Invariant tori for a class of nonlinear evolution equations. (English. Russian original)Zbl 1275.35024

Sb. Math. 204, No. 6, 824-868 (2013); translation from Mat. Sb. 204, No. 6, 47-92 (2013).
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Necessary conditions for the existence and sufficient conditions for the nonexistence of solutions to a certain fractional telegraph equation. (English)Zbl 1297.35266

MSC:  35R11 35A01 35L60

MSC:  35L15

New algorithm for solving a nonlinear hyperbolic telegraph equation with an integral condition. (English)Zbl 1232.65135

MSC:  65M70 35L70 46E22
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Reproducing kernel method for the solution of nonlinear hyperbolic telegraph equation with an integral condition. (English)Zbl 1222.65112

MSC:  65M70 46E22 35L70
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New exact solutions with functional parameters of the Nizhnik-Veselov-Novikov equation with constant asymptotic values at infinity. (English. Russian original)Zbl 1255.81135

Theor. Math. Phys. 165, No. 2, 1470-1489 (2010); translation from Teor. Mat. Fiz. 165, No. 2, 272-294 (2010).
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Dynamic effects associated with spatial discretization of nonlinear wave equations. (Russian, English)Zbl 1224.35246

Zh. Vychisl. Mat. Mat. Fiz. 49, No. 10, 1812-1826 (2009); translation in Comput. Math., Math. Phys. 49, No. 10, 1733-1747 (2009).
MSC:  35L05 35L15 35B41
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Conditions for the invertibility of the nonlinear difference operator $$(\mathcal Rx)(n)=H(x(n),x(n+1))$$, $$n\in\mathbb Z$$, in the space of bounded number sequences. (English. Russian original)Zbl 1181.47033

Sb. Math. 200, No. 2, 261-282 (2009); translation from Mat. Sb. 200, No. 2, 107-128 (2009).
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Rothe’s method for a telegraph equation with integral conditions. (English)Zbl 1171.35306

MSC:  35A35 35L70 35D05 35L20
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Transformation of hyperbolic Monge-Ampère equations into linear equations with constant coefficients. (English. Russian original)Zbl 1227.35210

Dokl. Math. 78, No. 3, 907-909 (2008); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 423, No. 5, 609-611 (2008).
MSC:  35L70 35A22
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The global existence for generalized semilinear telegraph equations. (Chinese. English summary)Zbl 1199.35226

MSC:  35L70 35L05

Exponential stability of solutions of the mixed problem for a system of telegraph equations. (Ukrainian. English summary)Zbl 1199.35227

MSC:  35L70 35B35

The two-time perturbation study of solutions for a telegraph equation. (Chinese. English summary)Zbl 1150.35335

MSC:  35B40 35G25 35G30

Symmetry and singularity properties of a system of ordinary differential equations arising in the analysis of the nonlinear telegraph equations. (English)Zbl 1129.34030

MSC:  34C14 34A34 35L70
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Maximum principles in a certain hyperbolic equation. (English)Zbl 1108.35020

Asakura, F. (ed.) et al., Hyperbolic problems. Theory, numerics and applications. I. Proceedings of the 10th international conference, Osaka, Japan, September 13–17, 2004. Yokohama: Yokohama Publishers (ISBN 4-946552-21-9/hbk). 327-334 (2006).
MSC:  35B50 35L70 35B10

Almost periodic solutions of forced sine-Gordon equations. (English)Zbl 1108.35306

Dumortier, Freddy (ed.) et al., EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22–26, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-169-2/hbk). 258-263 (2005).
MSC:  35B15 35L70 35B50

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Asymptotics of the global solution for a nonlinear telegraph equation. (English)Zbl 1073.35176

MSC:  35L70 35L20 35B40

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Explicit and exact solutions for a class of nonlinear wave equations. (Chinese. English summary)Zbl 0952.35075

MSC:  35L70 35C05

Continuous symmetries of the discrete nonlinear telegraph equation. (English)Zbl 0976.35093

MSC:  35R10 35L70 35A30
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The singular limit of telegraph equations. (English)Zbl 1110.35343

MSC:  35Q60 35B25 35L50

Asymptotic methods for the investigation of periodic solutions of nonlinear hyperbolic equations. (Асимптотические методы исследования периодических решений нелинейных гиперболических уравнений.) (Russian)Zbl 0940.35007

Tr. Mat. Inst. Steklova. 222. Moskva: Nauka. MAIK Nauka. 192 p. (1998).

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An asymptotic theory of nonlinearly perturbed wave equations and its applications. (Chinese. English summary)Zbl 0917.35079

MSC:  35L70 35C20 35L15

Stability properties of cycles and tori of a simplest nonresonant wave-type equation. (English. Russian original)Zbl 0929.35096

Math. Notes 62, No. 5, 623-628 (1997); translation from Mat. Zametki 62, No. 5, 744-750 (1997).
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Multiple doubly periodic solutions of semilinear dissipative hyperbolic equations. (English)Zbl 0870.35069

MSC:  35L70 47H11 35B10
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Existence results for semilinear equations with normal linear part and applications to telegraph equations. (English)Zbl 0857.35012

Benkirane, A. (ed.) et al., Nonlinear partial differential equations. Based on the international conference on nonlinear analysis, Fés, Morocco, May 9-14, 1994. Harlow: Longman. Pitman Res. Notes Math. Ser. 343, 32-41 (1996).
Reviewer: G.Hetzer (Auburn)
MSC:  35B10 35L70 47J25

MSC:  68W30
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Construction of a $$\omega$$-periodic generalized solutions of the quasilinear telegraph equation. (Russian)Zbl 0828.35082

MSC:  35L70 35L20 35B10

The behavior of hyperbolic heat equations’ solutions near their parabolic limits. (English)Zbl 0810.35051

MSC:  35L10 35B25 35K10 80A20 35L70
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Periodic solution of a nonlinear telegraph equation. (English. Russian original)Zbl 0843.35060

Mosc. Univ. Math. Bull. 48, No. 4, 1-4 (1993); translation from Vestn. Mosk. Univ., Ser. I. 1993, No. 4, 3-6 (1993).
MSC:  35L70 35B10

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On bifurcation solutions of nonlinear telegraph equations. (English. Abridged French version)Zbl 0782.35041

Reviewer: B.F.Gray (Sydney)

A nonlinear model of heat conduction. (English)Zbl 0755.35051

MSC:  35K55 35K05 80A20 35C05
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Parametric oscillations of solutions to the telegraph equation with moderately small diffusion. (English. Russian original)Zbl 0837.35093

Sib. Math. J. 33, No. 6, 1011-1019 (1992); translation from Sib. Mat. Zh. 33, No. 6, 79-86 (1992).
MSC:  35L70 35C20 35L20
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Some classes of nonautonomous nonlinear models reducible to linear form. (English)Zbl 0751.35047

MSC:  35Q72 35F20 74B20

Nonlinear partial differential equations of second order. Transl. from the Chinese by Kai Seng Chou. (English)Zbl 0759.35001

Translations of Mathematical Monographs. 95. Providence, RI: American Mathematical Society (AMS). vii, 251 p. (1991).
Reviewer: P.Drábek (Plzen)

Global in time solutions to quasilinear telegraph equations involving operators with time delay. (English)Zbl 0752.45012

MSC:  45K05 45G10
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Preliminary group classification of equations $$v_{tt}=f(x,v_ x)v_{xx} +g(x,v_ x)$$. (English)Zbl 0737.35099

MSC:  35Q53 58J70
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On the problem of $$\omega$$-periodic solutions of the quasilinear telegraph equation. (Russian)Zbl 0778.35007

MSC:  35B10 35L70 35L05

Periodic solutions of a quasilinear telegraph equation. (English. Russian original)Zbl 0743.35044

Differ. Equations 27, No. 5, 563-572 (1991); translation from Differ. Uravn. 27, No. 5, 815-826 (1991).
MSC:  35L70 35B10 35L20 35D05

Compensated compactness and time-periodic solutions to non-autonomous quasilinear telegraph equations. (English)Zbl 0737.35040

Reviewer: D.Huet (Nancy)
MSC:  35L70 35D05 47J25 35B10
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Existence results of semilinear equations at resonance. (English)Zbl 0763.34011

Reviewer: P.Drábek (Plzen)
MSC:  34B15 35L20

On a nonlinear telegraph equation with a free boundary. (English)Zbl 0705.35155

Nonlinear hyperbolic equations - theory, computation methods, and applications, Proc. 2nd Int. Conf., Aachen/FRG 1988, Notes Numer. Fluid Mech. 24, 589-598 (1989).
Reviewer: V.Ďurikovič
MSC:  35R35 35L70 35D05

On initial boundary value problems for weakly semilinear telegraph equations. Asymptotic theory and application. (English)Zbl 0671.35059

Reviewer: I.Ginchev
MSC:  35L70 35C20 35A05 35L20
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Initial-data dependent conservation laws for the telegraph equation. (English)Zbl 0667.35050

Reviewer: G.Caviglia
MSC:  35L70 35L65 35A22

The telegraph equation with nonlinear memory. (Russian)Zbl 0674.45006

Physical-technical applications of nonlinear boundary value problems, Collect. Sci. Works, Kiev 1987, 69-73 (1987).
Reviewer: M.Krüger
MSC:  45K05

An existence result for a nonlinear telegraph equation with a free boundary. (English)Zbl 0636.35055

Nonlinear oscillations, Proc. 11th Int. Conf., Budapest 1987, 734-736 (1987).
Reviewer: I.Straškraba
MSC:  35L70 76N10 76T99 35L20 35A05

Stationary solutions of the nonlinear telegraph equation. (Russian)Zbl 0648.34013

Some questions of the theory of asymptotic methods of nonlinear mechanics, Collect. sci. Works, Kiev 1986, 118-123 (1986).
Reviewer: M.Gronychova
MSC:  34A34

On generalized periodic solutions of some nonlinear telegraph and beam equations. (English)Zbl 0628.35006

Reviewer: S.Tersian
MSC:  35B10 35L70 35J60 35D05
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The evolution of nonlinear waves in active media. (English)Zbl 0572.73038

MSC:  74J99 92Cxx 35L05
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Singular-perturbation theory. An introduction with applications. (English)Zbl 0567.34055

Cambridge etc.: Cambridge University Press. XVI, 500 p. £35.00; \$ 42.50 (1985).
Reviewer: G.Karakostas

A Bäcklund transformation for a nonlinear telegraph equation. (English)Zbl 0587.35082

Wave phenomena: modern theory and applications, int. Meet. Univ. Toronto 1983, North-Holland Math. Stud. 97, 299-306 (1984).

Zu einer Lösungsklasse eines Systems nichtlinearer partieller Differentialgleichungen. (German)Zbl 0567.35062

Reviewer: J.Jaenicke
MSC:  35L70 35L55 35C05

A spectral characterization of monotonicity properties of normal linear operators with an application to nonlinear telegraph equation. (English)Zbl 0542.47040

MSC:  47H05 47B15 35L70

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General closed-form solutions of the equations of one-dimensional nonstationary isentropic motions of isotropic elastic media subject to finite deformations. (English)Zbl 0487.73042

MSC:  74B20 35C05

Problemes resonnants et non resonnants pour une equation des telegraphistes lineaires. (English)Zbl 0482.35007

Recent contributions to nonlinear partial differential equations, Lect. Paris 1978/79, Res. Notes Math. 50, 150-156 (1981).
MSC:  35B10 35G20 47J05

Representation of the solution of the Cauchy problem for the telegraph equation in the form of a continuous integral. (Russian)Zbl 0475.35024

MSC:  35C15 35L70 35Q99

A boundary value problem for nonlinear telegraph equation. (English)Zbl 0463.35057

MSC:  35L70 47H05 35B45
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