Results 11 to 20 of about 72 (41)
, 2020 In this paper, we study the eigenvalues of discrete Sturm-Liouville problems with signchanging weight and coupled boundary conditions. The exact number (including multiplicity) of the real eigenvalues is obtained.
Chenggang Gao, Fei Zhang, Maojun Ran
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Ground state and mountain pass solutions for discrete p(⋅)-Laplacian
Boundary Value Problems, 2012 In this paper we study the existence of solutions for discrete p(⋅)-Laplacian equations subjected to a potential type boundary condition. Our approach relies on Szulkin’s critical point theory and enables us to obtain the existence of ground state as ...
C. Bereanu, P. Jebelean, Călin Şerban
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Solutions of the third order Cauchy difference equation on groups
Advances in Differential Equations, 2014 Let f:G→H be a function, where (G,⋅) is a group and (H,+) is an abelian group. In this paper, the following third order Cauchy difference of f:C(3)f(x1,x2,x3,x4) = f(x1x2x3x4) − f(x1x2x3) − f(x1x2x4) − f(x1x3x4) − f(x2x3x4) + f(x1x2) + f(x1x3) + f(x1x4) +
Qiao-ling Guo, Lin Li
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An application on the second-order generalized difference equations
Advances in Differential Equations, 2013 In this paper, we study the solutions of the second-order generalized difference equation having the form of 1Δℓ2u(k)+f(k,u(k))=0,k∈[a,∞),a>0,ℓ∈(0,∞), where Δℓu(k)=u(k+ℓ)−u(k).
M. M. Manuel +4 more
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STABILITY RESULTS FOR NONLINEAR FRACTIONAL ORDER h-DIFFERENCE SYSTEMS
Dynamic systems and applications, 2018 This paper is concerned with the stability of the fractional order h-difference systems. The definition of Mittag-Leffler stability is introduced, and the sufficient conditions are presented by extending the Lyapunov direct method to such systems ...
Xianghu Liu +3 more
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J-self-adjoint extensions for second-order linear difference equations with complex coefficients
Advances in Differential Equations, 2013 This paper is concerned with second-order linear difference equations with complex coefficients which are formally J-symmetric. Both J-self-adjoint subspace extensions and J-self-adjoint operator extensions of the corresponding minimal subspace are ...
Huaqing Sun, Guojing Ren
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On the solutions of second order generalized difference equations
Advances in Differential Equations, 2012 In this article, the authors discuss ℓ2(ℓ) and c0(ℓ) solutions of the second order generalized difference equation Δℓ2u(k)+f(k,u(k))=0,k∈[a,∞),a>0 and we prove the condition for non existence of non-trivial solution where Δℓu(k)=u(k+ℓ)−u(k) for ℓ>0 ...
M. M. Manuel +4 more
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, 2016 We demonstrate that some recent results regarding the connection between the convexity of the map t → f (t) and the sign of Δa f (t) , with 2 < ν < 3 , can be improved.
C. Goodrich
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Some new integral inequalities on time scales
Mathematical Inequalities & Applications, 2019 In this paper, we establish some generalizations of inequalities on time scales, which have appeared in different articles. The inequalities that we will derive from our results when g(t) = t are essentially new. Mathematics subject classification (2010):
Feifei Du, Wei Hu, L. Erbe, A. Peterson
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Defect indices of singular symmetric linear difference equations with complex coefficients
Advances in Differential Equations, 2012 This article is concerned with the defect indices of singular symmetric linear difference equations of order 2n with complex coefficients and one singular endpoint.
Guojing Ren
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