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101.
Dumitru Motreanu Viorica V. Motreanu Nikolaos S. Papageorgiou 《Monatshefte für Mathematik》2010,159(1-2):59-80
First we prove the existence of a nontrivial smooth solution for a p-Laplacian equation with a (p ? 1)-linear nonlinearity and a noncoercive Euler functional, under hypotheses including resonant problems with respect to the principal eigenvalue of ${(-{\it \Delta}_p,\,W^{1,p}_0(Z))}$ . Then, for the semilinear problem (i.e., p = 2), assuming nonuniform nonresonance at infinity and zero, we prove a multiplicity theorem which provides the existence of at least three nontrivial solutions, two being of opposite constant sign. Our approach combines minimax techniques with Morse theory and truncation arguments. 相似文献
102.
Ngoc Tran Bao Dumitru Baleanu Duc Le Thi Minh Tuan Nguyen Huy 《Mathematical Methods in the Applied Sciences》2020,43(12):7208-7226
This paper studies partial differential equation model with the new general fractional derivatives involving the kernels of the extended Mittag–Leffler type functions. An initial boundary value problem for the anomalous diffusion of fractional order is analyzed and considered. The fractional derivative with Mittag–Leffler kernel or also called Atangana and Baleanu fractional derivative in time is taken in the Caputo sense. We obtain results on the existence, uniqueness, and regularity of the solution. 相似文献
103.
The concept of a deductive system has been intensively studied in algebraic logic, per se and in connection with various types
of filters. In this paper we introduce an axiomatization which shows how several resembling theorems that had been separately
proved for various algebras of logic can be given unique proofs within this axiomatic framework. We thus recapture theorems
already known in the literature, as well as new ones. As a by-product we introduce the class of pre-BCK algebras. 相似文献
104.
105.
Dumitru Popa 《Quaestiones Mathematicae》2018,41(5):683-692
We prove two characterizations of new Cohen summing bilinear operators. The first one is: Let X, Y and Z be Banach spaces, 1 < p < ∞, V : X × Y → Z a bounded linear operator and n ≥ 2 a natural number. Then V is new Cohen p-summing if and only if for all Banach spaces X1,?…?, Xn and all p-summing operators U : X1 × · · · × Xn → X, the operator V ? (U, IY) : X1 × · · · × Xn × Y → Z is -summing. The second result is: Let H be a Hilbert space,, Y, Z Banach spaces and V : H × Y → Z a bounded bilinear operator and 1 < p < ∞. Then V is new Cohen p-summing if and only if for all Banach spaces E and all p-summing operators U : E → H, the operator V ? (U, IY) is (p, p*)-dominated. 相似文献
106.
An extension of Riewes fractional Hamiltonian formulation is presented for fractional constrained systems. The conditions of consistency of the set of constraints with equations of motion are investigated. Three examples of fractional constrained systems are analyzed in details.On leave of absence from Institute of Space Sciences, P.O.BOX MG-23, R 76900, Magurele–Bucharest, Romania 相似文献
107.
108.
Semigroup Forum - For a numerical semigroup ring K[H] we study the trace of its canonical ideal. The colength of this ideal is called the residue of H. This invariant measures how far is H from... 相似文献
109.
The y-nonlocal Davey–Stewartson II equation is an extension of the usual DS II equation involving a partially parity-time-symmetric potential only with respect to the spatial variable y. By using the Hirota bilinear method, families of n-order rational solutions are obtained, which include lumps in the (x, y)-plane and the (y, t)-plane, growing-and-decaying line waves in the (x, t)-plane, and hybrid solutions of interacting line rogue waves and lumps in the (x, y)-plane. 相似文献
110.
Nguyen Huy Tuan Le Nhat Huynh Dumitru Baleanu Nguyen Huu Can 《Mathematical Methods in the Applied Sciences》2020,43(6):2858-2882
In this paper, we consider an inverse problem of recovering the initial value for a generalization of time-fractional diffusion equation, where the time derivative is replaced by a regularized hyper-Bessel operator. First, we investigate the existence and regularity of our terminal value problem. Then we show that the backward problem is ill-posed, and we propose a regularizing scheme using a fractional Tikhonov regularization method. We also present error estimates between the regularized solution and the exact solution using two parameter choice rules. 相似文献