Sentence examples for an unbounded interval. from inspiring English sources

The nonlinear fractional-order quadratic integral equation on an unbounded interval is difficult to solve.

So we think there is a real need to concern existence results for fractional evolution equation on an unbounded interval.

This paper is concerned with the existence results for mild solutions of semilinear fractional evolution equations on an unbounded interval.

In Section 4, we mainly prove exp-type Ulam-Hyers stability result for equation (2) on an unbounded interval ((1,infty)).

Very recently, Banaś, O'Regan [13] studied existence and attractiveness of solutions of a nonlinear quadratic integral equations of fractional order on an unbounded interval.

In particular, if (f u) > 0) for every (u in,]0, 1[ ), then the admissible speeds form an unbounded interval ([c^, +infty[ ), where the value (c^) takes the name of critical speed.

The fractional Laplacian on a unbounded interval is usually defined in the Schwartz space which is too narrow for many important applications.

Let I be a (bounded or unbounded) interval in  ℝ.

In particular, they showed that the problem (N) possessed at least three weak solutions in any closed and bounded interval of the parameters contained in an unbounded open interval of positive real numbers.

In [13], a notion of convergence for multiple series is defined and shown to be equivalent to the HK integrability of the associated step function over an unbounded multidimensional interval.

Similarly, the set of μ satisfying equation (20) with m = n is the real unbounded interval ( − ∞, 1 − n ) containing a single point satisfying (19), namely μ n = α − n.