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    Öğe
    Existence of Weak Solutions for Weighted Robin Problem Involving p(.)-biharmonic operator
    (Springer India, 2024) Kulak, Oznur; Aydin, Ismail; Unal, Cihan
    Using Mountain Pass Theorem, we consider the existence of weak solutions of weighted Robin problem involving p(.)-biharmonic operator { a(x)Delta(2)(p(x)) u = lambda b(x)vertical bar u vertical bar(q(x)-2)u, in Omega a(x)vertical bar Delta u vertical bar(p(x)-2)partial derivative u/partial derivative v + beta(x) vertical bar u vertical bar(p(x)-2) u = 0, on partial derivative Omega under some conditions in the space W-a,b(2,p(.)) (Omega).
  • [ X ]
    Öğe
    INVERSE CONTINUOUS WAVELET TRANSFORM IN WEIGHTED VARIABLE EXPONENT AMALGAM SPACES
    (Ankara Univ, Fac Sci, 2020) Kulak, Oznur; Aydin, Ismail
    The wavelet transform is an useful mathematical tool. It is a mapping of a time signal to the time-scale joint representation. The wavelet transform is generated from a wavelet function by dilation and translation. This wavelet function satisfies an admissible condition so that the original signal can be reconstructed by the inverse wavelet transform. In this study, we firstly give some basic properties of the weighted variable exponent amalgam spaces. Then we investigate the convergence of the theta-means of f in these spaces under some conditions. Finally, using these results the convergence of the inverse continuous wavelet transform is considered in these spaces.