Results 51 to 60 of about 99,243 (193)

A Note on Multidimensional Sumudu-Generalized Laplace Decomposition Method and Singular Pseudo-Hyperbolic Equations

Journal of Function Spaces
The objective of this research is to establish an effective methodology for addressing specific linear, nonlinear, singular n+1-dimensional fractional pseudo-hyperbolic equations via the use of the multi-Sumudu and generalized Laplace transforms combined
Hassan Eltayeb, Said Mesloub
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An analytical method for solving exact solutions of the nonlinear Bogoyavlenskii equation and the nonlinear diffusive predator–prey system

Alexandria Engineering Journal, 2016
In this article, we apply the exp(-Φ(ξ))-expansion method to construct many families of exact solutions of nonlinear evolution equations (NLEEs) via the nonlinear diffusive predator–prey system and the Bogoyavlenskii equations.
Md. Nur Alam, Cemil Tunc
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A parabolic-hyperbolic free boundary problem modeling tumor growth with drug application

Electronic Journal of Differential Equations, 2010
In this article, we study a free boundary problem modeling the growth of tumors with drug application. The model consists of two nonlinear second-order parabolic equations describing the diffusion of nutrient and drug concentration, and three ...
Ji-Hong Zhao
doaj  

Boundary Value Problems for Mixed Type Equations and Applications

, 2011
In this paper we outline a general method for finding well-posed boundary value problems for linear equations of mixed elliptic and hyperbolic type, which extends previous techniques of Berezanskii, Didenko, and Friedrichs.
Khuri, Marcus A.
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The system of equations for the ion sound and Langmuir waves and its new exact solutions

Results in Physics, 2018
The present study deals with the system of equations for the ion sound and Langmuir waves (SEISLWs). Distinct integration schemes, including the modified Kudraysov method (MKM) and the hyperbolic function method (HFM) with the help of symbolic ...
Aly R. Seadawy, D. Kumar, K. Hosseini, F. Samadani   +3 more
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Existence and number of solutions to semilinear equations with applications to boundary-value problems

Electronic Journal of Differential Equations, 2000
solutions to nonlinear equations and to (non)resonant semilinear equations involving nonlinear perturbations of Fredholm maps of index zero. We apply our results to semilinear elliptic, and to semilinear parabolic and hyperbolic periodic boundary-value ...
P. S. Milojevic
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Kirchhoff equations in generalized Gevrey spaces: local existence, global existence, uniqueness [PDF]

, 2009
In this note we present some recent results for Kirchhoff equations in generalized Gevrey spaces. We show that these spaces are the natural framework where classical results can be unified and extended.
Ghisi, Marina, Gobbino, Massimo
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A non-linear Oscillator with quasi-Harmonic behaviour: two- and $n$-dimensional Oscillators

, 2004
A nonlinear two-dimensional system is studied by making use of both the Lagrangian and the Hamiltonian formalisms. The present model is obtained as a two-dimensional version of a one-dimensional oscillator previously studied at the classical and also at ...
Ballesteros A, Bessis N, Bose S K, Cariñena J F, Cariñnena J F, De R, Evans N W, Grosche C, Grosche C, Grosche C, Higgs P W, José F Cariñena, Kalnins E G, Kalnins E G, Kaushal R S, Lakshmanan M, Lakshmanan M, Leemon H I, Lévy-Leblond J M, Manuel F Rañada, Mariano Santander, Mathews P M, Mathews P M, Mitra A K, Murugaian Senthilvelan, Nishijima K, Perelomov A M, Rauch-Wojciechowski S, Ravoson V, Rañada M F, Rañada M F, Rañada M F, Sarlet W, Velo G   +33 more
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Series Solutions of Time-Fractional PDEs by Homotopy Analysis Method

Differential Equations and Nonlinear Mechanics, 2008
The homotopy analysis method (HAM) is applied to solve linear and nonlinear fractional partial differential equations (fPDEs). The fractional derivatives are described by Caputo's sense. Series solutions of the fPDEs are obtained.
O. Abdulaziz, I. Hashim, A. Saif
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On nonlinear stabilization of linearly unstable maps

, 2017
We examine the phenomenon of nonlinear stabilization, exhibiting a variety of related examples and counterexamples. For G\^ateaux differentiable maps, we discuss a mechanism of nonlinear stabilization, in finite and infinite dimensions, which applies in ...
Gallay, Thierry, Texier, Benjamin, Zumbrun, Kevin   +2 more
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