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941.
942.
943.
Soon-Mo Jung 《Nonlinear Analysis: Theory, Methods & Applications》2009,71(12):e103
We will solve the inhomogeneous Legendre’s differential equation and apply this result to estimate the error bound occurring when an analytic function is approximated by an appropriate Legendre function. 相似文献
944.
Bindhyachal Rai 《Nonlinear Analysis: Theory, Methods & Applications》2009,71(9):4279-4296
In this paper we apply the equivariant degree method to study Hopf bifurcations in a system of differential equations describing a symmetric predator-prey-mutualist model with diffusive migration between interacting communities. A topological classification (according to symmetry types), of symmetric Hopf bifurcation in configurations of populations with D8, D12, A4 and S4 symmetries, is presented with estimation on minimal number of bifurcating branches of periodic solutions. 相似文献
945.
This paper studies suitable sufficient conditions to ensure the existence and uniqueness of weighted pseudo-almost periodic solutions to a neutral delay integral equation of advanced type introduced by T.A. Burton in the literature. The abstract results are then utilized to characterize weighted pseudo-almost periodic solutions to the well-known logistic equation. 相似文献
946.
It is proved that the modified Mann iteration process: xn+1=(1−αn)xn+αnTnxn,n∈N, where {αn} is a sequence in (0, 1) with δ≤αn≤1−κ−δ for some δ∈(0,1), converges weakly to a fixed point of an asymptotically κ-strict pseudocontractive mapping T in the intermediate sense which is not necessarily Lipschitzian. We also develop CQ method for this modified Mann iteration process which generates a strongly convergent sequence. 相似文献
947.
In this paper we give sufficient conditions for the nonexistence of positive entire weak solutions of coercive and anticoercive elliptic inequalities, both of the p-Laplacian and of the mean curvature type, depending also on u and x inside the divergence term, while a gradient factor is included on the right-hand side. In particular, to prove our theorems we use a technique developed by Mitidieri and Pohozaev in [E. Mitidieri, S.I. Pohozaev, A priori estimates and the absence of solutions of nonlinear partial differential equations and inequalities, Proc. Steklov Inst. Math., 234 (2001) 1–362], which relies on the method of test functions without using comparison and maximum principles. Their approach is essentially based first on a priori estimates and on the derivation of an asymptotics for the a priori estimate. Finally nonexistence of a solution is proved by contradiction. 相似文献
948.
We derive recursions for the probability distribution of random sums by computer algebra. Unlike the well-known Panjer-type recursions, they are of finite order and thus allow for computation in linear time. This efficiency is bought by the assumption that the probability generating function of the claim size be algebraic. The probability generating function of the claim number is supposed to be from the rather general class of D-finite functions. 相似文献
949.
Marc-Antoine Coppo 《Expositiones Mathematicae》2009,27(1):79-86
This article presents an interesting relation between the Hurwitz zeta function ζ(s,x) and a modification of the Bell polynomials through the rewriting of two classical identities discovered by Hasse and Hermite, respectively. Some applications of these new expressions to Euler's sums are also underscored. 相似文献
950.
We consider the mixed problem for the Lamé system