Global structure of radial positive solutions for a prescribed mean curvature problem in a ball

R Ma, H Gao, Y Lu - Journal of Functional Analysis, 2016 - Elsevier
In this paper, we are concerned with the global structure of radial positive solutions of
boundary value problem div (ϕ N (∇ v))+ λ f (| x|, v)= 0 in B (R), v= 0 on∂ B (R), where ϕ N …

[HTML][HTML] Boundary value problems for 2n-order ϕc-Laplacian difference equations containing both advance and retardation

Z Zhou, M Su - Applied Mathematics Letters, 2015 - Elsevier
In this paper, by using critical point theory, we obtain some sufficient conditions on the
existence of solutions of the boundary value problem for a 2 n-order ϕ c-Laplacian …

Spectrum theory of second-order difference equations with indefinite weight

R Ma, C Gao, Y Lu - Journal of Spectral Theory, 2018 - ems.press
In this paper, we study the spectrum structure of second-order difference operators with sign-
changing weight. We apply the Sylvester inertia theorem to show that the spectrum consists …

Discrete fourth-order boundary value problems with four parameters

S Heidarkhani, GA Afrouzi, A Salari, G Caristi - Applied Mathematics and …, 2019 - Elsevier
The theory of nonlinear difference equations and discrete boundary value problems has
been widely used to study discrete models in many fields such as computer science …

Spectrum of Discrete Second‐Order Neumann Boundary Value Problems with Sign‐Changing Weight

R Ma, C Gao, Y Lu - Abstract and Applied Analysis, 2013 - Wiley Online Library
We study the spectrum structure of discrete second‐order Neumann boundary value
problems (NBVPs) with sign‐changing weight. We apply the properties of characteristic …

Spectrum of Discrete Second‐Order Difference Operator with Sign‐Changing Weight and Its Applications

R Ma, C Gao - Discrete Dynamics in Nature and Society, 2014 - Wiley Online Library
Let T> 1 be an integer, and let𝕋={1, 2,…, T}. We discuss the spectrum of discrete linear
second‐order eigenvalue problems Δ2u (t− 1)+ λm (t) u (t)= 0, t∈ 𝕋, u (0)= u (T+ 1)= 0 …

[PDF][PDF] Multiplicity solutions for discrete fourth-order boundary value problem with multiple parameters

Y Wang, C Gao, T Geng - J. Nonlinear Sci. Appl, 2016 - researchgate.net
In this paper, we consider the existence of three solutions and infinitely many solutions for
discrete fourth-order boundary value problems with multiple parameters under the different …

Existence of Periodic Solutions for a Class of Fourth‐Order Difference Equation

J Wei, X Han, F Ye - Journal of Function Spaces, 2022 - Wiley Online Library
We apply the continuation theorem of Mawhin to ensure that a fourth‐order nonlinear
difference equation of the form Δ4u (k− 2)− a (k) uα (k)+ b (k) uβ (k)= 0 with periodic …

Positive solutions of a discrete second-order boundary value problems with fully nonlinear term

L Jin, H Luo - Advances in Difference Equations, 2020 - Springer
In this paper, we mainly consider a kind of discrete second-order boundary value problem
with fully nonlinear term. By using the fixed-point index theory, we obtain some existence …

Solutions of the boundary value problem for a 2nth-order nonlinear difference equation containing both advance and retardation

Q Wang, Z Zhou - Advances in Difference Equations, 2013 - Springer
In this paper, we consider the boundary value problem for a 2 n th-order nonlinear difference
equation containing both advance and retardation. By using the critical point theory, some …