ultrahyperbolic differential equation - definição. O que é ultrahyperbolic differential equation. Significado, conceito
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O que (quem) é ultrahyperbolic differential equation - definição

Oscillating differential equation; Oscillation (differential equation)

Ultrahyperbolic equation         
In the mathematical field of partial differential equations, the ultrahyperbolic equation is a partial differential equation for an unknown scalar function u of 2n variables x1, ..., xn, y1, ...
Differential equation         
MATHEMATICAL EQUATION INVOLVING DERIVATIVES OF AN UNKNOWN FUNCTION
Examples of differential equations; Differential equations/Examples; Differential equations of mathematical physics; Differential equations from Mathematical Physics; Differential equations from outside physics; Differental equations; Diff eq; Differential Equations; DiffyEq; Diffyeq; Separable ordinary differential equation; Exact first-order ordinary differential equation; Order (differential equation); Diff eq'n; Diffeq; Second order equation; Differential equations; Second-order differential equation; Higher order differential equation; Degree of a differential equation; Solutions of differential equations; Types of differential equations; Applications of differential equations; Differential Equation; History of differential equations; Differential equation solvers; Order of differential equation
In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two.
Degree of a differential equation         
MATHEMATICAL EQUATION INVOLVING DERIVATIVES OF AN UNKNOWN FUNCTION
Examples of differential equations; Differential equations/Examples; Differential equations of mathematical physics; Differential equations from Mathematical Physics; Differential equations from outside physics; Differental equations; Diff eq; Differential Equations; DiffyEq; Diffyeq; Separable ordinary differential equation; Exact first-order ordinary differential equation; Order (differential equation); Diff eq'n; Diffeq; Second order equation; Differential equations; Second-order differential equation; Higher order differential equation; Degree of a differential equation; Solutions of differential equations; Types of differential equations; Applications of differential equations; Differential Equation; History of differential equations; Differential equation solvers; Order of differential equation
In mathematics, the degree of a differential equation is the power of its highest derivative, after the equation has been made rational and integral in all of its derivatives.Order and Degree General Terms of Ordinary Differential Equations.

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Oscillation theory

In mathematics, in the field of ordinary differential equations, a nontrivial solution to an ordinary differential equation

F ( x , y , y ,   ,   y ( n 1 ) ) = y ( n ) x [ 0 , + ) {\displaystyle F(x,y,y',\ \dots ,\ y^{(n-1)})=y^{(n)}\quad x\in [0,+\infty )}

is called oscillating if it has an infinite number of roots; otherwise it is called non-oscillating. The differential equation is called oscillating if it has an oscillating solution. The number of roots carries also information on the spectrum of associated boundary value problems.