Nonlinear Functional Analysis and Applications

  • 제27권4호
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  • Pages.855-867
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  • 2022
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  • 1229-1595(pISSN)
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  • 2466-0973(eISSN)
경남대학교 수학교육과 (Kyungnam University, Department of Mathematics Eduaction)
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AN EXISTENCE OF THREE DIFFERENT NON-TRIVIAL SOLUTIONS FOR DISCRETE ANISOTROPIC EQUATIONS WITH TWO REAL PARAMETERS

  • Ahmed A.H., Alkhalidi (Computer Technical Engineering Department, College of Technical Engineering, The Islamic University) ;
  • Haiffa Muhsan B., Alrikabi (Department of Mathematics, College of Education for Pure Sciences, University of Thi-Qar Nasiriyah) ;
  • Mujtaba Zuhair, Ali (Computer Technical Engineering Department, College of Technical Engineering, The Islamic University)
  • 투고 : 2022.03.15
  • 심사 : 2022.07.21
  • 발행 : 2022.12.06
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초록

This study finds three different solutions (3-Sol's) for the fourth order nonlinear discrete anisotropic equations (DAE) with real parameter. We use the variational method(VM) and 𝜙p-Laplacian operator (𝜙p-LO) to prove the main results. In the following paper, we take the parameters λ, 𝜇 such that λ > 0 and 𝜇 ≥ 0 into consideration.

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과제정보

The Islamic University research grant PRG-IUNAJAF-2019 was supported this work.

참고문헌

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