Existence of solutions for some higher order boundary value problems
In this paper, we are concerned with the existence of solutions for the higher order boundary value problem in the formu(2 m + 2)(x) = f (x, u (x), u″(x), ..., u(2 m)(x)), x ∈ (0, 1),u(2 i)(0) = u(2 i)(1) = 0, 0 ≤ i ≤ m, where m is a given positive integer and f : [0, 1] × Rm + 1→ R is continuous. W...
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th-cmuir.6653943832-612162018-09-10T04:06:50Z Existence of solutions for some higher order boundary value problems Sita Charkrit Amnuay Kananthai Mathematics In this paper, we are concerned with the existence of solutions for the higher order boundary value problem in the formu(2 m + 2)(x) = f (x, u (x), u″(x), ..., u(2 m)(x)), x ∈ (0, 1),u(2 i)(0) = u(2 i)(1) = 0, 0 ≤ i ≤ m, where m is a given positive integer and f : [0, 1] × Rm + 1→ R is continuous. We introduce a new maximum principle of higher order equations and develop a monotone method in the presence of lower and upper solutions for this problem. © 2006 Elsevier Inc. All rights reserved. 2018-09-10T04:06:50Z 2018-09-10T04:06:50Z 2007-05-15 Journal 10960813 0022247X 2-s2.0-33846625267 10.1016/j.jmaa.2006.06.092 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=33846625267&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/61216 |
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Mathematics |
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Mathematics Sita Charkrit Amnuay Kananthai Existence of solutions for some higher order boundary value problems |
| description |
In this paper, we are concerned with the existence of solutions for the higher order boundary value problem in the formu(2 m + 2)(x) = f (x, u (x), u″(x), ..., u(2 m)(x)), x ∈ (0, 1),u(2 i)(0) = u(2 i)(1) = 0, 0 ≤ i ≤ m, where m is a given positive integer and f : [0, 1] × Rm + 1→ R is continuous. We introduce a new maximum principle of higher order equations and develop a monotone method in the presence of lower and upper solutions for this problem. © 2006 Elsevier Inc. All rights reserved. |
| format |
Journal |
| author |
Sita Charkrit Amnuay Kananthai |
| author_facet |
Sita Charkrit Amnuay Kananthai |
| author_sort |
Sita Charkrit |
| title |
Existence of solutions for some higher order boundary value problems |
| title_short |
Existence of solutions for some higher order boundary value problems |
| title_full |
Existence of solutions for some higher order boundary value problems |
| title_fullStr |
Existence of solutions for some higher order boundary value problems |
| title_full_unstemmed |
Existence of solutions for some higher order boundary value problems |
| title_sort |
existence of solutions for some higher order boundary value problems |
| publishDate |
2018 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=33846625267&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/61216 |
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