منابع مشابه
p-Lambda-bounded variation
A characteriation of continuity of the $p$-$Lambda$-variation function is given and the Helly's selection principle for $Lambda BV^{(p)}$ functions is established. A characterization of the inclusion of Waterman-Shiba classes into classes of functions with given integral modulus of continuity is given. A useful estimate on modulus of variation of functions of class $Lambda BV^{(p)}$ is found.
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where K : Z → X, L : Z → X, Z,X are, say, Banach spaces, and K,L are linear operators. There is a number of approaches to solving such problems; for example, [11, 12], similar in spirit the results of [15, 16, 17, 18] where an interesting notion of empathy is introduced, or [20] where a suitable change of space method is used. In this paper, we aim neither at a comprehensive treatment of the pr...
متن کاملp-lambda-bounded variation
a characteriation of continuity of the $p$-$lambda$-variation function is given and the helly's selection principle for $lambda bv^{(p)}$ functions is established. a characterization of the inclusion of waterman-shiba classes into classes of functions with given integral modulus of continuity is given. a useful estimate on modulus of variation of functions of class $lambda bv^{(p)}$ is found.
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In this article, our goal is to prove the existence and uniqueness of solution for 1D and 2D semi-linear hyperbolic equations in a bounded domain with a monotone nonlinear term. We use elliptic regularization and a finite difference scheme in time to build the approximate solutions for the semi-linear hyperbolic equations, and we utilize the regularization method together with the monotonicity ...
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For A(t) and f (t, x, y) T -periodic in t , we consider the following evolution equation with infinite delay in a general Banach space X: u′(t)+A(t)u(t)= f (t, u(t), ut ), t > 0, u(s)= φ(s), s 0, (0.1) where the resolvent of the unbounded operator A(t) is compact, and ut (s) = u(t + s), s 0. By utilizing a recent asymptotic fixed point theorem of Hale and Lunel (1993) for condensing operators t...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1974
ISSN: 0022-247X
DOI: 10.1016/0022-247x(74)90217-0