Construction of upper and lower solutions for singular discrete initial and boundary value problems via inequality theory
نویسندگان
چکیده
منابع مشابه
Construction of Upper and Lower Solutions for Singular Discrete Initial and Boundary Value Problems via Inequality Theory
where φp(s)=|s|p−2s, p > 1, ∆u(k− 1)=u(k)−u(k−1), T∈{1,2, . . .}, N+={0,1, . . . ,T}, and u :N+ →R. Throughout this paper, we will assume f :N × (0,∞)→R is continuous. As a result, our nonlinearity f (k,u) may be singular at u= 0 and may change sign. Remark 1.1. Recall a map f :N × (0,∞)→R is continuous if it is continuous as a map of the topological space N × (0,∞) into the topological space R...
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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2005
ISSN: 1687-1847
DOI: 10.1155/ade.2005.205