Sentence examples for certain partial from inspiring English sources

Dirichlet problem, in mathematics, the problem of formulating and solving certain partial differential equations that arise in studies of the flow of heat, electricity, and fluids.

The class is given in terms of solvability of a certain partial differential equation.

Theorem 1.1 Let ( X, d ) be a metric space endowed with a certain partial order ⪯.

Let ((X,d)) be a complete metric space endowed with a certain partial order ⪯.

Theorem 1.2 Let ( X, d ) be a complete metric space endowed with a certain partial order ⪯.

The Sturm-Picone theorem and much of the related theory should allow generalization to certain partial differential equations.

Consider a certain mixed partial P m of mean frequency f m ¯.

Based on a traveling wave transformation, certain fractional partial differential equation can be turned into another fractional ordinary differential equation.

The inequalities given here can be used as tools in the qualitative theory of certain nonlinear partial differential equations.

Fractional integral inequalities are useful in establishing the uniqueness of solutions for certain fractional partial differential equations.

Elliptic complexes, made up of certain linear partial differential operators D1, …, Dd with C∞ coefficients, are constructed.