EXISTENCE OF THREE SOLUTIONS FOR DISCRETE BOUNDARY VALUE PROBLEMS WITH CONTINUOUS-TIME

Junjie Mao; Wentao Huang; Feng Xiong

doi:10.11948/20260143

2027 Volume 17 Issue 3

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Article navigation > Journal of Applied Analysis & Computation > 2027 > 17(3): 1744-1760

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Junjie Mao, Wentao Huang, Feng Xiong. EXISTENCE OF THREE SOLUTIONS FOR DISCRETE BOUNDARY VALUE PROBLEMS WITH CONTINUOUS-TIME[J]. Journal of Applied Analysis & Computation, 2027, 17(3): 1744-1760. doi: 10.11948/20260143

Citation:

Junjie Mao, Wentao Huang, Feng Xiong. EXISTENCE OF THREE SOLUTIONS FOR DISCRETE BOUNDARY VALUE PROBLEMS WITH CONTINUOUS-TIME[J]. Journal of Applied Analysis & Computation, 2027, 17(3): 1744-1760. doi: 10.11948/20260143

EXISTENCE OF THREE SOLUTIONS FOR DISCRETE BOUNDARY VALUE PROBLEMS WITH CONTINUOUS-TIME

1.
College of Mathematics and Statistics, Guangxi Normal University, 541006 Guilin, China
2.
Center for Applied Mathematics of Guangxi, Guangxi Normal University, 541006 Guilin, China

Author Bio: Email: elmsley@stu.gxnu.edu.cn(J. Mao); Email: huangwentao@163.com(W. Huang)
Corresponding author: Email: xiongfengq1@163.com(F. Xiong)
Fund Project: The authors were supported by the National Natural Science Foundation of China (No. 12561026), Guangxi basic ability promotion program for young and middle-aged teachers (No. 2025KY0092) and Green talent inclusive support policy research program (No. RZ2400004152)

Abstract

Abstract

Using critical point theory, we establish sufficient conditions for the existence of at least three solutions to discrete boundary value problems with continuous-time. Under suitable assumptions on the nonlinearity, we obtain the existence of three positive solutions via the strong maximum principle. To the best of our knowledge, this is the first study of such discrete boundary value problems. Finally, three concrete examples illustrate the main results.
- Three solutions /
- boundary value problems /
- continuous-time /
- critical point theory /
- strong maximum principle
MSC: 39A27, 39A12

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References

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