Sentence examples for under which problem from inspiring English sources

In what follows we provide the conditions under which problem (1) cannot have global nontrivial solutions.

In Section 3, we shall provide some conditions under which problem (1.1) will have a unique positive periodic solution.

In Section 3, we shall provide some conditions, under which problem (1) has at least one positive solution.

In Section 3 we provide some conditions under which problem (1 -(4) will have a unique solution or at least one solution.

Motivated mainly by [4, 5, 14], we shall establish conditions on M and f under which problem (1.1) possesses infinitely many solutions in the present paper.

Next, we will point out two special cases, under which problem (7) is equivalent to problem (5) or, equivalently, any optimal solution to (7) is achieved with constraint (7a) active.

Robust Decision-Making offers insights into conditions under which problems occur, and makes trade-offs transparent.

In Section 4, we formulate sufficient conditions under which problems with advanced argument α have positive solutions.

In Section 4 we discuss the dependence of solution (x_{lambda}(t)) on the parameter λ for problem (1.1) with advanced argument α and we formulate sufficient conditions under which delayed problem (1.1) has positive solutions in Section 5.

Choose the category that best describes the area under which your problem falls.

Using the parametric form, necessary and sufficient conditions under which this problem is solvable are obtained and a minimum modification is given explicitly.