Le Matematiche (Dipartimento di Matematica e Informatica, Università degli Studi di Catania)
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Multiple solutions for a class of degenerate nonlocal problems involving sublinear nonlinearities
Get PDFIn this article, we use the three critical points theorem by G. Bonanno [3] in order to investigate the multiplicity of solutions for some nonlocal degenerate problems
Simple graphs whose 2-distance graphs are path or cycle
Get PDFWe will classify all finite simple graphs whose 2-distance graph have large or small maximum valency, specially when it is a path or a cycle
On convolution properties for certain classes of p-valent meromorphic functions defined by linear operator
Get PDFIn this paper, by making use of convolution, we obtain some interesting results for certain family of meromorphic p-valent functions defined by new linear operator.
Sufficiency criteria for a class of p-valent analytic functions of complex order
Get PDFIn this paper we obtain extensions of sufficient conditions for analytic functions f(z) in the open unit disk \mathcal{U} to be starlike and convex of complex order. Our results unify and extend some starlikeness and convexity conditions for analytic functions discussed by Mocanu [1988], Uyanik et al. [2011], Goyal et al. [2012] and others
New classes of integral inequalities of fractional order
Get PDFIn this paper, the Riemann-Liouville fractional operator is used to generate new classes of integral inequalities using a family of n positive functions, (n ∈ N∗). For our results, some interesting classical inequalities can be deduced as some special cases
Some properties of generalized two-fold symmetric non-Bazilevic analytic functions
Get PDFIn this paper, we introduce a new class of generalized two-fold symmetric non-Bazilevic functions analytic in the unit disc E. We prove such results as subordination and superordination properties, convolution properties, distortion theorems, and inequality properties of this new class
Relative approximate controllability of fractional stochastic delay evolution equations with nonlocal conditions
Get PDFIn this paper, we study the relative approximate controllability of nonlinear fractional stochastic evolution equations with time delays and nonlocal conditions, in Hilbert space, via new fixed point analysis approach. An example is provided to show the application of our result
Differential sandwich theorems for higher-order derivatives of p-valent functions involving a generalized differential operator
Get PDFIn the present article, we obtain some applications of first order differential subordination, superordination and sandwich results for higher-order derivatives of p-valent functions involving a generalized differential operator. Some of our results improve and generalize previously known results
Integral transforms of k-generalized Mittag-Leffler function E_{k,α,β}^{γ,τ}(z)
No full textIn this paper we study the Euler Transform, Laplace Transform, Whittaker Transform and Fractional Fourier Transform of order α, 0 < α ≤ 1, u ∈ φ (R) on certain special functions of generalized k-Mittag-Leffler function E_{k,α,β}^{γ,τ} (z).
Projective curves, hyperplane sections and associated webs
Get PDFAn integral and non-degenerate curve is said to be ordinary (Gruson, Hantout and Lehmann) if if the general hyperplane section of is of maximal rank in . Let be the maximal integer such that for every there is a smooth ordinary curve with degree and genus . Here we discuss the relevance of old papers to get a lower bound for . We prove that arithmetically Gorenstein curves are ordinary only if either or and . We prove that general low genus curves are ordinary