Results 71 to 80 of about 2,192,180 (155)

The Lévy–Khintchine type operators with variable Lipschitz continuous coefficients generate linear or nonlinear Markov processes and semigroups [PDF]

open access: yes, 2011
Ito's construction of Markovian solutions to stochastic equations driven by a Lévy noise is extended to nonlinear distribution dependent integrands aiming at the effective construction of linear and nonlinear Markov semigroups and the corresponding ...
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
core   +1 more source

Nonlinear Wave Equations Related to Nonextensive Thermostatistics

open access: yesEntropy, 2017
We advance two nonlinear wave equations related to the nonextensive thermostatistical formalism based upon the power-law nonadditive S q entropies.
Angel R. Plastino, Roseli S. Wedemann
doaj   +1 more source

A note on exp-function method combined with complex transform method applied to fractional differential equations

open access: yesAdvances in Nonlinear Analysis, 2015
In this article, the fractional derivatives in the sense of modified Riemann–Liouville and the exp-function method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional Liouville ...
Guner Ozkan, Bekir Ahmet, Bilgil Halis
doaj   +1 more source

Soliton equations: admitted solutions and invariances via B\"acklund transformations [PDF]

open access: yesOpen Communications in Nonlinear Mathematical Physics
A couple of applications of B\"acklund transformations in the study of nonlinear evolution equations is here given. Specifically, we are concerned about third order nonlinear evolution equations.
Sandra Carillo, Cornelia Schiebold
doaj   +1 more source

Ground state solutions for quasilinear scalar field equations arising in nonlinear optics

open access: yes, 2021
In this paper, we study a class of quasilinear elliptic equations which appears in nonlinear optics. By using the mountain pass theorem together with a technique of adding one dimension of space, we prove the existence of a non-trivial weak solution for ...
Alessio Pomponio, Tatsuya Watanabe
core   +1 more source

The Nonlinear Schrödinger Equation Derived From the Fifth-Order Korteweg–de Vries Equation Using Multiple Scales Method

open access: yesInternational Journal of Differential Equations
The mathematical models of problems that arise in many branches of science are nonlinear equations of evolution (NLEE). For this reason, NLEE have served as a language in formulating many engineering and scientific problems.
Murat Koparan
doaj   +1 more source

INITIAL VALUE PROBLEMS FOR NONLINEAR DIFFERENTIAL EQUATIONS SOLVED BY DIFFERENTIAL TRANSFORM METHOD [PDF]

open access: yes
The notion of differential transform was firstly introduced and applied to electrical circuits by J. Zhou, [4]. In the present paper we apply the differential transform method to solve initial values problems for nonlinear differential equations.
Flavia-Dalia FRUMOSU, Mircea CÎRNU
core  

Nonlinear equations in non-reflexive Banach spaces and strongly nonlinear differential equations [PDF]

open access: yes, 1998
In this paper, we study strongly nonlinear degenerate elliptic and parabolic equations of the form F(x,u,Du,...,D(2m-1)u,Lu) = 0 and ut = F(x,t,u,Du,...,D(2m-1)u,Lu), respectively, where L is a linear operator of the derivatives of highest (i.e., of 2m ...
Soltanov, Kamal N.   +2 more
core   +1 more source

Nonlinear partial differential equations in applied science : proceedings of the U.S.-Japan seminar, Tokyo, 1982 /

open access: yes, 1983
Nonlinear equations come to us in tremendous variety, each with its own questions and its own difficulties. At one extreme are the completely integrable equations, with constants of the motion and a rich algebraic structure. At the other extreme is chaos,
Lax, Peter D.,editor.   +2 more
core  

Solving Systems of Non-Linear Equations by Broyden's Method with Projected Updates [PDF]

open access: yes
We introduce a modification of Broyden's method for finding a zero of n nonlinear equations in n unknowns when analytic derivatives are not available.
David M. Gay, Robert B. Schnabel
core  

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