Zobrazeno 1 - 10
of 622
pro vyhledávání: '"lower solution"'
Autor:
Yang Zedong, Bai Zhanbing
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 261-301 (2024)
In this article, we study the following nonlinear kk-Hessian system with singular weights Sk1k(σ(D2u1))=λb(∣x∣)f(−u1,−u2),inΩ,Sk1k(σ(D2u2))=λh(∣x∣)g(−u1,−u2),inΩ,u1=u2=0,on∂Ω,\left\{\begin{array}{ll}{S}_{k}^{\frac{1}{k}}(\sig
Externí odkaz:
https://doaj.org/article/8178540150b04d209dfa89e9976a8822
Autor:
石敏瑞(SHI Minrui), 高承华(GAO Chenghua)
Publikováno v:
Zhejiang Daxue xuebao. Lixue ban, Vol 51, Iss 4, Pp 438-442 (2024)
By using the upper and lower solution method, this study proves the existence of positive solutions for a class of discrete problems with （p,q） -Laplace operators-Δ（ϕp（Δut-1））-Δ（ϕq（Δut-1））=λf（ut）, t∈[1,T]Z ,Δu0=uT+1=
Externí odkaz:
https://doaj.org/article/8fb64d66decf42ff91dbffe00dd6fa63
Publikováno v:
AIMS Mathematics, Vol 9, Iss 6, Pp 15263-15275 (2024)
This article contains some outcomes on fixed points for a graph preserving nonlinear contraction in a metric space endued with a transitive directed graph. Our results improved, enriched, and subsumed various known fixed point theorems. To argue for
Externí odkaz:
https://doaj.org/article/6aa28c5baab840a99103850cd5d51433
Publikováno v:
Mathematics, Vol 12, Iss 22, p 3624 (2024)
A class of semilinear elliptic differential equations was investigated in this study. By constructing the inverse function, using the method of upper and lower solutions and the principle of comparison, the existence of the maximum positive solution
Externí odkaz:
https://doaj.org/article/6f8f1d47ba794bd2a448d423496bab7c
Autor:
Paul W. Eloe, Jeffrey T. Neugebauer
Publikováno v:
Cubo, Vol 25, Iss 2, Pp 251-272 (2023)
It has been shown that, under suitable hypotheses, boundary value problems of the form, $Ly+\lambda y=f,$ $BC y =0$ where $L$ is a linear ordinary or partial differential operator and $BC$ denotes a linear boundary operator, then there exists $\Lambd
Externí odkaz:
https://doaj.org/article/4c8eafb77ff44be795f0f595643d9295
Publikováno v:
Annals of the West University of Timisoara: Mathematics and Computer Science, Vol 59, Iss 1, Pp 79-91 (2023)
In this paper, we study the following fractional differential equation involving the Atangana-Baleanu-Caputo fractional derivative: {ABCaDτθ[x(ϑ)−F(ϑ,x(ϑ))]=G(ϑ,x(ϑ)), ϑ∈J:=[a,b],x(a)=φa∈ℝ.$$\left\{ {\matrix{ {AB{C_a}D_\tau ^\theta [
Externí odkaz:
https://doaj.org/article/b28772b0455b4a93b0dbf1e64ae566b0
Publikováno v:
AIMS Mathematics, Vol 8, Iss 4, Pp 9146-9165 (2023)
In this paper we study a fourth-order differential equation with Riemann-Stieltjes integral boundary conditions. We consider two cases, namely when the nonlinearity satisfies superlinear growth conditions (we use topological degree to obtain an exist
Externí odkaz:
https://doaj.org/article/696600edb2e34069aba1dfb0f44eba91
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