Matematik Bölümü Makale Koleksiyonu
http://hdl.handle.net/11655/307
Sun, 18 Apr 2021 06:47:57 GMT2021-04-18T06:47:57ZLong-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).
Tue, 01 Jan 2013 00:00:00 GMThttp://hdl.handle.net/11655/218462013-01-01T00:00:00ZOn 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.
Sat, 01 Jan 2011 00:00:00 GMThttp://hdl.handle.net/11655/198372011-01-01T00:00:00ZOn 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.
Mon, 01 Jan 2007 00:00:00 GMThttp://hdl.handle.net/11655/198392007-01-01T00:00:00ZOn Functions Between Generalized Topological Spaces
http://hdl.handle.net/11655/19838
On Functions Between Generalized Topological Spaces
Bayhan, S; Kanibir, A; Reilly, I.L.
Tue, 01 Jan 2013 00:00:00 GMThttp://hdl.handle.net/11655/198382013-01-01T00:00:00Z