The ergodic theory of positive operators on continuous functions
The essential norm of the generalized Hankel operators on the Bergman space of the unit ball in .
The essential norms of composition operators between generalized Bloch spaces in the polydisc and their applications.
The essential spectrum of holomorphic Toeplitz operators on spaces
We compute the essential Taylor spectrum of a tuple of analytic Toeplitz operators on , where D is a strictly pseudoconvex domain. We also provide specific formulas for the index of provided that is a compact subset of D.
The Euler-Lagrange inclusion in Orlicz-Sobolev spaces
We establish the Euler-Lagrange inclusion of a nonsmooth integral functional defined on Orlicz-Sobolev spaces. This result is achieved through variational techniques in nonsmooth analysis and an integral representation formula for the Clarke generalized gradient of locally Lipschitz integral functionals defined on Orlicz spaces.
The Euler-Maclaurin sum formula for an inner derivation.
The existence and some properties of solutions of a differential equation with deviated argument
The existence and uniqueness of solution of Duffing equations with non- perturbation functional at nonresonance.
The existence of angular derivatives of holomorphic maps of Siegel domains in a generalization of -algebras
The aim of this paper is to start a systematic investigation of the existence of angular limits and angular derivatives of holomorphic maps of infinite dimensional Siegel domains in -algebras. Since -algebras are natural generalizations of -algebras, -algebras, -algebras, ternary algebras and complex Hilbert spaces, various significant results follow. Examples are given.
The existence of bounded solutions for differential equations in Hilbert spaces
The existence of bounded solutions for equations x' = A(t)x + r(x,t) is proved, where the linear part is exponentially dichotomic and the nonlinear term r satisfies some weak conditions.
The existence of countably many positive solutions for nonlinear th-order three-point boundary value problems.
The existence of multiple positive solutions of -Laplacian boundary value problems
The existence of positive solution to a nonlinear fractional differential equation with integral boundary conditions.
The existence of positive solution to some asymptotically linear elliptic equations in exterior domains.
In this paper, we are concerned with the asymptotically linear elliptic problem -Δu + λ0u = f(u), u ∈ H01(Ω) in an exterior domain Ω = RnO (N ≥ 3) with O a smooth bounded and star-shaped open set, and limt→+∞ f(t)/t = l, 0 < l < +∞. Using a precise deformation lemma and algebraic topology argument, we prove under our assumptions that the problem possesses at least one positive solution.
The existence of positive solutions for nonlinear boundary system with -Laplacian operator based on sign-changing nonlinearities.
The existence of positive solutions for third-order -Laplacian -point boundary value problems with sign changing nonlinearity on time scales.
The Existence of Wave Operators in Scattering Theory.
The Feynman integral and Feynman's operational calculus: a heuristic and mathematical introduction
The fine spectra discrete Cesàro operator on .
The fine spectra of some Cesàro generalized operators defined on ().