On Homogeneous Cubic Equation with Fourunknowns x3+y3= 2lzw2

On a Cubic-quintic Ginzburg-landau Equation with Global Coupling

We study standing wave solutions in a parabolic partial diierential equations which consists of a cubic-quintic equation stabilized by global coupling A 2 (y) dy : We classify the existence and stability of all posssible standing wave solutions.

On a Cubic Equation and a Jensen-Quadratic Equation

Cubic-Quartic Functional Equation

and Applied Analysis 3 In 2008, Gordji et al. 17 provided the solution as well as the stability of a mixed type cubic-quartic functional equation. We only mention here the papers 19, 32, 33 concerning the stability of the mixed type functional equations. In this paper, we deal with the following general cubic-quartic functional equation: f ( x ky ) f ( x − ky) k2(f(x y) f(x − y)) 2 ( 1 − k2 ) f...

The Cubic Equation

As is well known, equations of degree up to 4 can be solved in radicals . The solutions can be obtained, apart from the usual arithmetic operations, by the extraction of roots. In the case of the quadratic equation, this has a very concrete meaning. Even if the coefficients are arbitrary complex numbers, the solutions can always be calculated by the extraction of roots from nonnegative real num...

The ∂-equation on Homogeneous Varieties with an Isolated Singularity

Let X be a regular irreducible variety in CP, Y the associated homogeneous variety in C, and N the restriction of the universal bundle of CP to X . In the present paper, we compute the obstructions to solving the ∂-equation in the L-sense on Y for 1 ≤ p ≤ ∞ in terms of cohomology groups H(X,O(N)). That allows to identify obstructions explicitly if X is specified more precisely, for example if i...