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International Journal of Modern Nonlinear Theory and Application (IJMNTA) is an openly accessible journal published quarterly. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of no…
Guochun Wen, Yanhui Zhang, Dechang Chen
This article discusses the general boundary value problem for the nonlinear uniformly elliptic equation of second order in D (0.1) and the boundary condition ,(0.2) in a multiply connected infinite domain D with the boundary T. The above boundary value proble…
Mohamed S. El Naschie
In this letter , I outline the intimate connection between the fractal spectra of the exact solution of the hydrogen atom and the issue of the missing dark energy of the cosmos. A proposal for a dark energy reactor harnessing the dark energy of the Schrodinge…
Man Liu, Shuling Wang, Qingzhi Yu, Zhengming Wang
The infinite generator of α -times Integrated C semigroups and the properties of resolvent are given . At the same time , we discuss the relationship between the existence of strong solution of a class of nonhomogeneous abstract Cauchy problem and α -times in…
Shikuan Mao, Yongqin Liu
The focus of this article is on the geometric mechanism for the blow-up of solutions to the initial value problem for scalar conservation laws. We prove that the sufficient and necessary condition of blow-up is the formation of characteristics envelope. Wheth…
Simegne Tafesse, Nagarajan Sukavanam
In this paper , approximate controllability of fractional order retarded semilinear systems is studied when the nonlinear term satisfies the newly formulated bounded integral contractor-type conditions. We have shown the existence and uniqueness of the mild s…
Mohamed Abd El-Rahman Ahmed
In this paper, we show that Theorem 2.1 [1] (resp. Theorem 2.2 [1]) is a consequence of Corollary 2.1 [1] ( resp. Corollary 2.2 [1]).
Behrooz Basirat, Mohammad Amin Shahdadi
In this paper, we present a practical matrix method for solving nonlinear Volterra-Fredholm integro-differential equations under initial conditions in terms of Bernstein polynomials on the interval [0,1]. The nonlinear part is approximated in the form of matr…
Jean Roger Bogning
In this work, we use the Bogning-Djeumen Tchaho-Kofané method to look for all solutions of shape Sech n - of the modified KdV and Born-Infeld Equations. n being a real number, we obtain the soliton solutions when n is positive and the non soliton solutions wh…
Tatsuya Kai
This paper presents a complete integrability condition for fully rheonomous affine constraints in terms of the rheonomous bracket. We first define fully rheonomous affine constraints and develop geometric representation for them. Next, the rheonomous bracket…
Mujahid Abd Elmjed M-Ali
In this paper we discus s stability theory of the mass critical, mass-supercritical and energy-subcritical of solution to the nonlinear Schrodinger equation. In general, we take care in developing a stability theory for nonlinear Schr o dinger equation. By st…
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International Journal of Modern Nonlinear Theory and Application (IJMNTA) is an openly accessible journal published quarterly. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of no… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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