Results 21 to 30 of about 96,765 (260)
In continuing from previous papers, where we studied the existence and uniqueness of the global solution and its asymptotic behavior as time t goes to infinity, we now search for a time-periodic weak solution u(t) for the equation whose weak formulation ...
Eliana Henriques de Brito
doaj +1 more source
We show, using the spectral Galerkin method together with compactness arguments, the existence and uniqueness of the periodic strong solutions for the magnetohydrodynamic-type equations with inhomogeneous boundary conditions.
Igor Kondrashuk +3 more
doaj +1 more source
Discontinuous bifurcations of periodic solutions
The authors discuss some aspects of bifurcations of periodic solutions in systems with a discontinuous vector field. Using the example \[ m\ddot x+C(\dot x) + K(x) = f_0\sin(\omega t), \] the authors demonstrate, under certain assumptions on the functions \(K(x)\) and \(C(\dot x)\), how the Floquet multipliers of a discontinuous system can jump when ...
Leine, R.I., Campen, van, D.H.
openaire +2 more sources
PERIODIC SOLUTIONS AND SLOW MANIFOLDS [PDF]
After reviewing a number of results from geometric singular perturbation theory, we give an example of a theorem for periodic solutions in a slow manifold. This is illustrated by examples involving the van der Pol-equation and a modified logistic equation.
openaire +3 more sources
Bounded and Periodic Solutions of Semilinear Impulsive Periodic System on Banach Spaces
A class of semilinear impulsive periodic system on Banach spaces is considered. First, we introduce the T0-periodic PC-mild solution of semilinear impulsive periodic system.
Qian Chen +3 more
doaj +2 more sources
Different Wave Structures for the (2+1)-Dimensional Korteweg-de Vries Equation
In this article, a (2+1)-dimensional Korteweg-de Vries equation is investigated. Abundant periodic wave solutions are obtained based on the Hirota’s bilinear form and a direct test function.
Chun-Rong Qin +4 more
doaj +1 more source
In the present paper, the improved modified extended tanh-function method is employed to get new exact traveling wave solutions for the doubly dispersive model. Several types of solutions are obtained using the proposed method.
Manar S. Ahmed +2 more
doaj +1 more source
Periodic and asymptotically periodic solutions of neutral integral equations
Many results have been obtained for periodic solutions of Volterra integral equations (for instance, [1-3] and references cited therein). Here we consider two systems of neutral integral equations \begin{eqnarray} x(t)=a(t)+\int_0^t D(t,s,x(s))ds+\int_t^\
Tetsuo Furumochi, Theodore Burton
doaj +1 more source
ABSTRACT Background PIK3CA‐related overgrowth spectrum (PROS) includes several rare overgrowth disorders resulting from somatic gain‐of‐function mutations in PIK3CA. Despite treatment advances, including the recent approval of alpelisib for PROS in the United States, literature detailing the patient experience with PROS is limited.
Vamsi Bollu +8 more
wiley +1 more source
Rectangular p-periodicity and pq-periodicity of a rational difference system
In this paper, we classify periodic characters of the positive solutions of the difference system (1) xn+1=αe−(yn+xn−1)β+yn+xn−1,yn+1=γe−(xn+yn−1)δ+xn+yn−1as rectangular p-periodic and pq-periodic solutions, where the constants α,β,γ,δ,x−1,x0,y−1,y0>0 ...
D.S. Dilip, Sibi C. Babu
doaj +1 more source

