Sentence examples for give existence from inspiring English sources

We give existence and nonexistence results, depending on the parameters p and λ.

We give existence and uniqueness results in weighted Sobolev spaces for a solution of a first order differential equation with operator coefficients of type ∂u∂t − Au(t) = ƒ(t), on the line R.

We give existence results for solutions of the prescribed scalar curvature equation on S3, when the curvature function is a positive Morse function and satisfies an index-count condition.

The goal of this paper is to give existence and uniqueness results for the problem (1.1).

Secondly, we give existence results of positive entire solutions of system (1.1).

In Section 3, we give existence of solutions to abstract strongly damped wave equations.

Eckehart meant that creatures have no existence of their own but are given existence by God, as the body is made to exist and is contained by the soul.

The latter may give a substantial increase in the rate of genetic gain of the population, given existence of significant social genetic effects.

This paper presents a minimax method which gives existence and multiplicity results for time periodic solutions of a class of Hamiltonian systems when a singular potential is present.

The universe consists of a chain of actual beings, each giving existence to the one below it and responsible for the existence of the rest of the chain below.

Figure 1 gives existence regions of the equilibria (E_{0}), (E_{1}), and (E_{2}), and (E^).