In this paper, we have introduced elliptical harmonic motion in terms of elliptical numbers. In addition, we have found the relationships between the absolute, the relative and the sliding velocities and accelerations of ...

In this study, we first calculate the polar moment of inertia of orbit curves under one-parameter planar motion in the generalized complex plane and then give the Holditch-type theorem for : When the fixed points and on ...

The numerical solution of linear Volterra-Stieltjes integral equations of the second kind by using the generalized trapezoid rule is established and investigated. Also, the conditions on estimation of the error are determined ...

Let P and Q be nonzero integers. The generalized Fibonacci and Lucas sequences are defined respectively as follows: U0=0,U1=1, V0=2,V1=P and Un+1=PUn+QUn−1, Vn+1=PVn+QVn−1 for n≥1. In this paper, when w∈{1,2,3,6}, for all ...

This paper gives a priori estimates and continuous dependence of the solutions to fourth-order nonlinear wave equation.

Suppose that the matrix equations system (A(1)XB(1), ... , A(k)XB(k)) = (C-1,..., C-k) with unknown matrix X is given, where A(i), B-i, and C-i, i = 1, 2,..., k, are known matrices of suitable sizes. The matrix nearness ...

Let A(1) and A(2) be two nonzero commuling} and {a2, fi2}-quadratic matrices, respectively, where alpha(1), beta(1), alpha(2), beta(2) is an element of C with alpha(1) not equal beta(1) and alpha(2) not equal beta(2). The ...

Let pi be a Lipschitz prime and p = pi pi(star). Perfect 1-error-correcting codes in H(Z)(n)(pi), are constructed for every prime number p equivalent to 1(mod 4). This completes a result of the authors in an earlier work, ...

In this work, we study Lorentzian spherical motion of rigid bodies by using instantaneous invariants and define Lorentzian inflection curve, Lorentzian circling points curve and Lorentzian cubic of twice stationary curve, ...