Please note that terms and conditions apply. Controllability for the impulsive semilinear fuzzy integrodifferential equations with nonlocal conditions View the table of contents for this issue, or go to the journal homepage for more Abstract. In this paper. we study the controllability for the impulsive semilinear fuzzy integrodifferential control system with nonlocal conditions in by using the...

In this paper we fully describe the set of the positive and nodal (regular and singular) radial solutions of the superlinear elliptic P. without restriction on the range of 2 IR. Here, B 1 is the unit ball in IR N. More precisely, in all subcritical, critical and supercritical cases, we analyze the possible singularities of radial solutions at the origin and the number of bounded and unbounded ...

E. Yanagida recently proved that the classical Matukuma equation with a given exponent has only one nite mass solution. We show how similar ideas can be exploited to obtain uniqueness results for other classes of equations as well as Matukuma equations with more general coeecients. One particular example covered is u + u p u = 0, with p > 1. The key ingredients of the method are energy function...

with φ a C∞ function with compact support in Ω. Note that Qu corresponds to the second variation of the energy associated to (1). We say that u is semi-stable if Qu(φ) ≥ 0 for all such φ. If u is bounded, this is equivalent to the nonnegativeness of the first eigenvalue in Ω of the linearized problem −∆− g′(u) of (1) at u. In [CC2] we establish sharp pointwise, L, and W k,q estimates for semi-s...

A second-order energy-preserving scheme is studied for the solution of the semilinear Cauchy Problem un uxx -uyy + u =0 (t > 0 ; x, y e R). Smooth data functions of compact support are prescribed at t = 0. On any time interval [0, 7"], second-order convergence (up to logarithmic corrections) to the exact solution is established in both the energy and uniform norms.

Abstract. Although implicit-explicit (IMEX) methods for approximating solutions to semilinear parabolic equations are relatively standard, most recent works examine the case of a fully discretized model. We show that by discretizing time only, one can obtain an elementary convergence result for an implicit-explicit method. This convergence result is strong enough to imply existence and uniquene...

This paper is concerned with the existence of mild solutions of some classes of initial value problem for firstand second-order impulsive semilinear functional and neutral functional differential equations. Initially, we will consider initial value problems for firstorder impulsive semilinear functional differential equations y′(t)−Ay(t) = f (t, yt), a.e. t ∈ J := [0,b], t = tk, k = 1, . . . ,m...