Sentence examples for an unbounded sequence of from inspiring English sources

Under suitable hypotheses mainly on ƒ we find an unbounded sequence of nonradial solutions if N = 4 or N ≥ 6.

Let V be a nonnegative potential such that the corresponding Schrödinger operator has an unbounded sequence of eigenvalues (λi V))i∈N∗.

Then I has an unbounded sequence of critical values.

Then problem (1.1) has an unbounded sequence of homoclinic solutions.

Hence, system (1.1) possesses an unbounded sequence of homoclinic solutions.

Then Φ has an unbounded sequence of critical values.

Then we have an unbounded sequence of critical values.

Then J possesses an unbounded sequence of critical values.

Then I possesses an unbounded sequence of critical values.

Then possesses an unbounded sequence of critical values.

Hence, problem (4.1) has an unbounded sequence of homoclinic solutions.