Sentence examples for interval problem from inspiring English sources

We also assume two pairs of upper and lower solutions and show that this infinite interval problem has at least three solutions.

In the recent work [15], the authors have found a way around the "short time interval" problem to treat semilinear problems for certain evolution equations of second order.

In this section assuming two pairs of upper and lower solutions, we shall prove the existence of at least three solutions for our infinite interval problem.

But, to the best knowledge of the authors, when considering the upper and lower solution method, there is no paper to find the existence of multiple unbounded solutions for infinite interval problem.

Inspirited by the papers mentioned above, in this paper, we aim to use the upper and lower solution method to discuss the existence of multiple unbounded solutions for infinite interval problem.

When applying the method of upper and lower solution method to discuss the infinite interval problem, most of the results are concerned with the existence of the bounded or positive solutions.

The presented approach is also applicable to solve pure random and pure interval problems.

In boundary layer theory, Blasius-type equations lead to infinite interval problems.

Infinite interval problems occur in the study of radially symmetric solutions of nonlinear elliptic equations; see [6, 7, 17].

When applying the upper and lower solution method to infinite interval problems, the solutions are always assumed to be bounded.

While most of these works deal with problems on finite intervals and the literature is satisfactory, study of infinite interval problems has been just initiated in [2, 13 17].