| ชื่อเรื่อง | : | Eigenvalues of complementary Lidstone boundary value problems |
| นักวิจัย | : | Agarwal, Ravi P. , Wong, Patricia Jia Yiing |
| คำค้น | : | DRNTU::Engineering::Electrical and electronic engineering. |
| หน่วยงาน | : | Nanyang Technological University, Singapore |
| ผู้ร่วมงาน | : | - |
| ปีพิมพ์ | : | 2555 |
| อ้างอิง | : | Agarwal, R. P., & Wong, P. J. (2012). Eigenvalues of complementary Lidstone boundary value problems. Boundary Value Problems, 2012(1), 49. , 1687-2770 , http://hdl.handle.net/10220/18604 , http://dx.doi.org/10.1186/1687-2770-2012-49 |
| ที่มา | : | - |
| ความเชี่ยวชาญ | : | - |
| ความสัมพันธ์ | : | Boundary value problems |
| ขอบเขตของเนื้อหา | : | - |
| บทคัดย่อ/คำอธิบาย | : | We consider the following complementary Lidstone boundary value problem (−1)my(2m+1)(t)=λF(t,y(t),y′(t)),t∈(0,1)y(0)=0,y(2k−1)(0)=y(2k−1)(1)=0,1≤k≤m where λ > 0. The values of λ are characterized so that the boundary value problem has a positive solution. Moreover, we derive explicit intervals of λ such that for any λ in the interval, the existence of a positive solution of the boundary value problem is guaranteed. Some examples are also included to illustrate the results obtained. Note that the nonlinear term F depends on y' and this derivative dependence is seldom investigated in the literature. |
| บรรณานุกรม | : |
Agarwal, Ravi P. , Wong, Patricia Jia Yiing . (2555). Eigenvalues of complementary Lidstone boundary value problems.
กรุงเทพมหานคร : Nanyang Technological University, Singapore. Agarwal, Ravi P. , Wong, Patricia Jia Yiing . 2555. "Eigenvalues of complementary Lidstone boundary value problems".
กรุงเทพมหานคร : Nanyang Technological University, Singapore. Agarwal, Ravi P. , Wong, Patricia Jia Yiing . "Eigenvalues of complementary Lidstone boundary value problems."
กรุงเทพมหานคร : Nanyang Technological University, Singapore, 2555. Print. Agarwal, Ravi P. , Wong, Patricia Jia Yiing . Eigenvalues of complementary Lidstone boundary value problems. กรุงเทพมหานคร : Nanyang Technological University, Singapore; 2555.
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