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I wondered how you could get existence out of nonexistence to the third power.
When milder singularities are permitted a notion of generalized T-periodic solution is introduced and we get existence and multiplicity results for such solutions.
Step 4 This suffices to get existence and completeness of wave operators.
We will show that some rather general sign conditions upon f, (h_{1}), (h_{N}) suffice to get existence.
These impulses can be interpreted as a control of the external forces represented by f in order to get existence or nonexistence a periodic solution of (1).
Can we relax condition (C2) in Proposition 2.1 and still get existence of solutions by means of essentially the same proof?
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In the last years, the theorem of Weil on multiplicative character sums has been very frequently used for getting existence results on combinatorial designs of various kinds.
The different solutions of the piecewise nonlinear system are derived and their stability are analyzed to get the existence boundaries of the different responses.
Moreover, we get the existence of nonnegative solutions at nonresonance.
Moreover, we get the existence of nonnegative solutions.
According to Proposition 2.3, we get the existence of solutions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com