Le Matematiche (Dipartimento di Matematica e Informatica, Università degli Studi di Catania)
Not a member yet
1189 research outputs found
Sort by
Series splutions for initial-value problems of time fractional generalized anomalous diffusion equations
Get PDFIn this paper, we formulate an initial-value problem of generalized anomalous diffusion equation consisting second order in two dimensional space and fractional order in time derivatives and then solve it by applying a series involving bilinear Eigen functions. Also, we evaluate a numerical approximation formula of this solution and also discuss its some special cases
Three solutions for a class of Neumann boundary value systems driven by a (p_1,...,p_n)-Laplacian operator
No full textIn this paper, we prove the existence of at least three weak solutions for Neumann doubly eigenvalue elliptic systems involving the (p_1, . . . , p_n )-Laplacian. The approach is based on a recent three critical points theorem obtained by B. Ricceri [9]. We also give some examples to illustrate the obtained results
Some differential subordination and superordination properties of symmetric analytic functions involving Noor integral operator
Get PDFIn this paper, we obtain some interesting properties of differential subordination and superordination for the classes of symmetric functions analytic in the unit disc, by applying Noor integral operator. We investigate several sandwich theorems on the basis of this theory
On Hilbert\u27s type operator norm inequalities on Herz spaces
Get PDFIn this paper some necessary and sufficient conditions are given for the Hilbert’s type operators to be bounded on the Herz spaces. The corresponding new operator norm inequalities are obtained
Regular sequences of power sums and complete symmetric polynomials
Get PDFIn this article, we carry out the investigation for regular sequences of symmetric polynomials in the polynomial ring in three and four variable. Any two power sum element in C[x_1, x_2, . . . , x_n] for n ≥ 3 always form a regular sequence and we state the conjecture when p_a, p_b, p_c for given positive integers a < b < c forms a regular sequence in C[x_1, x_2, x_3, x_4 ].We also provide evidence for this conjecture by proving it in special instances. We also prove that any sequence of power sums of the form p_a, p_a+1 , . . ., p_a+m−1 , p_b with m < n − 1 forms a regular sequence in C[x_1, x_2, . . . , x_n ]. We also provide a partial evidence in support of conjecture’s given by Conca, Krattenthaler and Watanble in [1] on regular sequences of symmetric polynomials
Logarithmically completely monotonic functions involving the Generalized Gamma Function
Get PDFBy a simple approach, two classes of functions involving generalization Euler\u27s gamma function and originating from certain problems of traffic flow are proved to be logarithmically completely monotonic and a class of functions involving the psi function is showed to be completely monotonic
Hopf modules in the braided monoidal category
Get PDFSuppose that L is a quasitriangular weak Hopf algebra with a bijective antipode and H is a weak Hopf algebra in the braided nonoidal category LM. We prove that the fundamental theorem for right H-Hopf modules in LM. Our results in this paper generalize previous fundamental theorem for Hopf module on the Hopf algebras and weak Hopf algebras
A note on some elliptic equations of anisotropic type
Get PDFWe prove the existence of weak solutions to some nonlinear elliptic equations governed by an anisotropic operator mapping an appropriate function space to its dual. A sign condition with no growth restrictions with respect to the variable solution is imposed to a perturbed nonlinear term to the operator. The data is considered to be close to L^1
Total boundness in vector-valued F-seminormed function spaces
Get PDFWe present a compactness criterion of Vitali-type in a class of vector-valued real F-seminormed spaces, which satisfy the W-property
On L^1-Convergence Of Rees-Stanojević\u27s Sums With Coefficients From The Class K
Get PDFIn this paper are considered the modified cosine sums introduced by Rees and Stanojević with coefficients from the class K. In addition, it is proved that the condition is a necessary and sufficient condition for the -convergence of the cosine series. Also, an open problem about -convergence for the derivative of the cosine series is presented