SOLVABILITY OF FRACTIONAL FUNCTIONAL BOUNDARY-VALUE PROBLEMS WITH P-LAPLACIAN OPERATOR ON A HALF-LINE AT RESONANCE

Bingzhi Sun; Shuqin Zhang; Weihua Jiang

doi:10.11948/20210123

2023 Volume 13 Issue 1

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Bingzhi Sun, Shuqin Zhang, Weihua Jiang. SOLVABILITY OF FRACTIONAL FUNCTIONAL BOUNDARY-VALUE PROBLEMS WITH P-LAPLACIAN OPERATOR ON A HALF-LINE AT RESONANCE[J]. Journal of Applied Analysis & Computation, 2023, 13(1): 11-33. doi: 10.11948/20210123

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Bingzhi Sun, Shuqin Zhang, Weihua Jiang. SOLVABILITY OF FRACTIONAL FUNCTIONAL BOUNDARY-VALUE PROBLEMS WITH P-LAPLACIAN OPERATOR ON A HALF-LINE AT RESONANCE[J]. Journal of Applied Analysis & Computation, 2023, 13(1): 11-33. doi: 10.11948/20210123

SOLVABILITY OF FRACTIONAL FUNCTIONAL BOUNDARY-VALUE PROBLEMS WITH P-LAPLACIAN OPERATOR ON A HALF-LINE AT RESONANCE

1.
Department of Mathematics, Luoyang Normal University, China
2.
Department of Mathematics, China University of Mining and Technology, Beijing
3.
College of Sciences, Hebei University of Science and Technology, Shijiazhuang, Hebei, China

Corresponding author: Email: bingzhi93@qq.com(B. Sun)

Abstract

Abstract

This paper aims to consider the existence of solutions for p-Laplacian functional boundary-value problems at resonance on a half-line with two dimensional kernel. By employing some operators which satisfies suitable conditions and the Re and Gen extension of coincidence degree theory, a new result on the existence of solutions is acquired.
- P-Laplacian /
- functional boundary condition /
- half-line /
- fractional differential equations /
- resonance
MSC: 34A08, 34B15

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References

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