Matematik Bölümü Makale Koleksiyonu http://hdl.handle.net/11655/307 2021-04-18T06:47:25Z Long-Time Dynamics of the Parabolic P-Laplacian Equation http://hdl.handle.net/11655/21846 Long-Time Dynamics of the Parabolic P-Laplacian Equation Güven Geredeli, Pelin; Khanmamedov, Azer In this paper, we study the long-time behaviour of solutions of Cauchy problem for the parabolic p-Laplacian equation with variable coefficients. Under the mild conditions on the coefficient of the principal part and without upper growth restriction on the source function, we prove that this problem possesses a compact and invariant global attractor in L-2 (R-n). 2013-01-01T00:00:00Z On Existence And Nonexistence Of The Positive Solutions Of Non-Newtonian Filtration Equation http://hdl.handle.net/11655/19837 On Existence And Nonexistence Of The Positive Solutions Of Non-Newtonian Filtration Equation Novruzov, Emil The subject this investigation is existence and nonexistence of positive solutions of the following nonhomogeneous equation rho(vertical bar x vertical bar) partial derivative u/partial derivative t - Sigma(N)(i=1) D(i)(u(m-1)vertical bar D(i)u vertical bar(lambda-1)D(i)u) + g (u) + lu = f (x) (1) or, after the change v = u(sigma), sigma = m+lambda-1/lambda, of equation rho(vertical bar x vertical bar) partial derivative v(1/sigma)/partial derivative t - sigma(-lambda) Sigma(N)(i=1)D(i)(vertical bar Div vertical bar(lambda-1)D(i)v) + g(v(1/sigma)) + lv(1/sigma) = f (x), (1') in unbounded domain R(+) x R(N), where the term g (s) is supposed to satisfy just a lower polynomial growth condition and g' (s) > -l(1). The existence of the solution in L(1+ 1/sigma)(0, T; L(1+ 1/sigma)(R(N))) boolean AND L(lambda+1)(0, T; W(1,lambda+1) (R(N))) is proved. Also, under some condition on g(s) and u(0) is shown a nonexistence of the solution. 2011-01-01T00:00:00Z On Hollow-Lifting Modules http://hdl.handle.net/11655/19839 On Hollow-Lifting Modules Orhan, Nil; Tuetuencue, Derya Keskin; Tribak, Rachid Let R be any ring and let M be any right R-module. M is called hollow-lifting if every submodule N of M such that M/N is hollow has a coessential submodule that is a direct summand of M. We prove that every amply supplemented hollow-lifting module with finite hollow dimension is lifting. It is also shown that a direct sum of two relatively projective hollow-lifting modules is hollow-lifting. 2007-01-01T00:00:00Z On Functions Between Generalized Topological Spaces http://hdl.handle.net/11655/19838 On Functions Between Generalized Topological Spaces Bayhan, S; Kanibir, A; Reilly, I.L. 2013-01-01T00:00:00Z