On some differential inclusions with anti-periodic solutions
In this paper, we investigate a class of second- and first-order differential inclusions, along with an algebraic inclusion, all subject to anti-periodic boundary conditions in a real Hilbert space. These problems, denoted as (Pɛμ)ap, (Pµ)ap, and (E00), involve operators that are odd, maximal monoto...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2025-06-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/auom-2025-0024 |
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| Summary: | In this paper, we investigate a class of second- and first-order differential inclusions, along with an algebraic inclusion, all subject to anti-periodic boundary conditions in a real Hilbert space. These problems, denoted as (Pɛμ)ap, (Pµ)ap, and (E00), involve operators that are odd, maximal monotone, and possibly set-valued. The second- and first-order differential inclusions are parameterized by two nonnegative constants, ɛ and µ, which affect the behavior of the differential terms. |
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| ISSN: | 1844-0835 |