Regularity for Semilinear Neutral Hyperbolic Equations with Cosine Families
The purpose of this paper is to obtain the regularity for solutions of semilinear neutral hyperbolic equations with the nonlinear convolution. The principal operator is the infinitesimal generator of a cosine and sine families. In order to show a variation of constant formula for solutions, we make...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/7/1157 |
| _version_ | 1827713105137762304 |
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| author | Seong-Ho Cho Jin-Mun Jeong |
| author_facet | Seong-Ho Cho Jin-Mun Jeong |
| author_sort | Seong-Ho Cho |
| collection | DOAJ |
| description | The purpose of this paper is to obtain the regularity for solutions of semilinear neutral hyperbolic equations with the nonlinear convolution. The principal operator is the infinitesimal generator of a cosine and sine families. In order to show a variation of constant formula for solutions, we make of using the nature of cosine and sine families. |
| first_indexed | 2024-03-10T18:28:26Z |
| format | Article |
| id | doaj.art-36a3c3e1880f437bb873e8900bcfd3d6 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T18:28:26Z |
| publishDate | 2020-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-36a3c3e1880f437bb873e8900bcfd3d62023-11-20T06:49:00ZengMDPI AGMathematics2227-73902020-07-0187115710.3390/math8071157Regularity for Semilinear Neutral Hyperbolic Equations with Cosine FamiliesSeong-Ho Cho0Jin-Mun Jeong1Department of Applied Mathematics, Pukyong National University, Busan 608-737, KoreaDepartment of Applied Mathematics, Pukyong National University, Busan 608-737, KoreaThe purpose of this paper is to obtain the regularity for solutions of semilinear neutral hyperbolic equations with the nonlinear convolution. The principal operator is the infinitesimal generator of a cosine and sine families. In order to show a variation of constant formula for solutions, we make of using the nature of cosine and sine families.https://www.mdpi.com/2227-7390/8/7/1157semilinear hyperbolic equationsexistenceregularitycosine familysine family |
| spellingShingle | Seong-Ho Cho Jin-Mun Jeong Regularity for Semilinear Neutral Hyperbolic Equations with Cosine Families Mathematics semilinear hyperbolic equations existence regularity cosine family sine family |
| title | Regularity for Semilinear Neutral Hyperbolic Equations with Cosine Families |
| title_full | Regularity for Semilinear Neutral Hyperbolic Equations with Cosine Families |
| title_fullStr | Regularity for Semilinear Neutral Hyperbolic Equations with Cosine Families |
| title_full_unstemmed | Regularity for Semilinear Neutral Hyperbolic Equations with Cosine Families |
| title_short | Regularity for Semilinear Neutral Hyperbolic Equations with Cosine Families |
| title_sort | regularity for semilinear neutral hyperbolic equations with cosine families |
| topic | semilinear hyperbolic equations existence regularity cosine family sine family |
| url | https://www.mdpi.com/2227-7390/8/7/1157 |
| work_keys_str_mv | AT seonghocho regularityforsemilinearneutralhyperbolicequationswithcosinefamilies AT jinmunjeong regularityforsemilinearneutralhyperbolicequationswithcosinefamilies |