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Advances in Pure Mathematics (APM) is an openly accessible journal published monthly. 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 ordered algebraic structures. All the manus…
Xiaojing Wang, Guohua Song
The oscillatory behavior of solutions of a class of second order nonlinear differential equations with damping is studied and some new sufficient conditions are obtained by using the refined integral averaging technique. Some well known results in the literat…
Mingyu Sun
The PLIC/SN method that combines the second-order volume tracking method (PLIC-VOF) with the equation of surface normal (SN) vector was recently proposed (M . Sun, “ Volume Tracking of Subgrid Particles, ” International Journal for Numerical Methods in Fluids…
Yury Talagaev, Andrey Tarakanov
The study of the parameter space of chaotic systems is complicated by its high dimensionality (multi-parametricability). Two approaches to the study of chaotic systems are presented: multi-parameter analysis and optimal suppression of chaotic dynamics. For no…
Masatomo Matsushima, Mayumi Ohmiya
In the present paper, the semi-commutative differential oparators associated with the 1-dimensional Dirac operator are constructed. Using this results, the hierarchy of the mKdV (-) polynomials are expressed in terms of the KdV polynomials. These formulas giv…
Meilan Qiu, Liquan Mei
In this paper, we investigate the existence and uniqueness of weak solutions for a new class of initial/boundary-value parabolic problems with nonlinear perturbation term in weighted Sobolev space. By building up the compact imbedding in weighted Sobolev spac…
Harry Gingold, Daniel Solomon
This article is a review and promotion of the study of solutions of differential equations in the “ neighborhood of infinity ” via a non traditional compactification. We define and compute critical points at infinity of polynomial autonomuos differential syst…
A. M. Kawala, S. N. Odda
A mathematical model is presented to study the effect of chemical reaction on unsteady natural convection boundary layer flow over a semi-infinite vertical cylinder. Taking into account the buoyancy force effects, for the situation in which the surface temper…
Ivan Gonoskov
We present an approach how to obtain solutions of arbitrary linear operator equation for unknown functions. The particular solution can be represented by the infinite operator series (Cyclic Operator Decomposition), which acts the generating function. The met…
Guochun Wen
In [ 1 ], I. N. Vekua propose the Poincaré problem for some second order elliptic equations, but it can not be solved. In [ 2 ], the authors discussed the boundary value problem for nonlinear elliptic equations of second order in some bounded domains. In this…
Mujahid Abd Elmjed M-Ali, Amadu Fullah Kamara
This paper studies the global behavior to 3 D focusing nonlinear Schrodinger equation (NLS), the scaling index here is ( 0 ＜ s c ＜ 1 ) , which is the mass-supercritical and energy-subcritical, and we prove under some condition the solution u ( t ) is globally…
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Advances in Pure Mathematics (APM) is an openly accessible journal published monthly. 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 ordered algebraic structures. All the manus… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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