Uniqueness of solutions of the Cauchy problems for first order partial differential-functional equations
<span style="font-family: DejaVu Sans,sans-serif;">We formulate a criterion of uniqueness of solutions of a Cauchy problem using the comparison function of the Kamke type. This will be a generalization of classical results concerning first order equations with partial derivatives. We...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Università degli Studi di Catania
1994-05-01
|
| Series: | Le Matematiche |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/511 |
| id |
doaj-db15c8ac70ec4c849b79b9b9f0416086 |
|---|---|
| record_format |
Article |
| spelling |
doaj-db15c8ac70ec4c849b79b9b9f04160862020-11-25T03:34:15ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52981994-05-014911524479Uniqueness of solutions of the Cauchy problems for first order partial differential-functional equationsDanuta Jaruszewska-Walczak<span style="font-family: DejaVu Sans,sans-serif;">We formulate a criterion of uniqueness of solutions of a Cauchy problem using the comparison function of the Kamke type. This will be a generalization of classical results concerning first order equations with partial derivatives. We prove that the uniqueness criteria of Perron and Kamke type for differential-function problems are equivalent if given functions are continuous.</span>http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/511 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Danuta Jaruszewska-Walczak |
| spellingShingle |
Danuta Jaruszewska-Walczak Uniqueness of solutions of the Cauchy problems for first order partial differential-functional equations Le Matematiche |
| author_facet |
Danuta Jaruszewska-Walczak |
| author_sort |
Danuta Jaruszewska-Walczak |
| title |
Uniqueness of solutions of the Cauchy problems for first order partial differential-functional equations |
| title_short |
Uniqueness of solutions of the Cauchy problems for first order partial differential-functional equations |
| title_full |
Uniqueness of solutions of the Cauchy problems for first order partial differential-functional equations |
| title_fullStr |
Uniqueness of solutions of the Cauchy problems for first order partial differential-functional equations |
| title_full_unstemmed |
Uniqueness of solutions of the Cauchy problems for first order partial differential-functional equations |
| title_sort |
uniqueness of solutions of the cauchy problems for first order partial differential-functional equations |
| publisher |
Università degli Studi di Catania |
| series |
Le Matematiche |
| issn |
0373-3505 2037-5298 |
| publishDate |
1994-05-01 |
| description |
<span style="font-family: DejaVu Sans,sans-serif;">We formulate a criterion of uniqueness of solutions of a Cauchy problem using the comparison function of the Kamke type. This will be a generalization of classical results concerning first order equations with partial derivatives. We prove that the uniqueness criteria of Perron and Kamke type for differential-function problems are equivalent if given functions are continuous.</span> |
| url |
http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/511 |
| work_keys_str_mv |
AT danutajaruszewskawalczak uniquenessofsolutionsofthecauchyproblemsforfirstorderpartialdifferentialfunctionalequations |
| _version_ |
1724559695072460800 |