Existence of positive solutions for certain nonlinear partial difference equations
نویسندگان
چکیده
منابع مشابه
Existence of Positive Solutions for Certain Partial Difference Equations
where Pm,n > 0 onN 0 , k, l ∈N0,Ni = {i, i+1, . . .} and i is an arbitrary integer. Throughout this paper, we assume that a, b, c, d are positive constants. A double sequence {Am,n} is said to be a solution of (1.1) if it satisfies (1.1) form≥m0, n≥ n0. A solution {Ai, j} of (1.1) is said to be eventually positive if Ai, j > 0 for all large i and j, and eventually negative if Ai, j < 0 for all ...
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has been considered. To the best of our knowledge, however, little has been done for the abstract difference equations see 7–9 . In this note, we will consider this problem. To this end, let X be a real Banach space and let K ⊂ X be a cone, then a Banach space X with a partial ordering ≤ induced by a coneK is called an ordered Banach space. On the other hand, we will denote the identity operato...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2003
ISSN: 0895-7177
DOI: 10.1016/s0895-7177(03)90091-4