ON FUČIK SPECTRA FOR THIRD ORDER EQUATIONS

ON TE EXISTENCE OF PERIODIC SOLUTION FOR CERTAIN NONLINEAR THIRD ORDER DIFFERENTIAL EQUATIONS

On Oscillation Criteria for Third Order Nonlinear Delay Differential Equations

In this paper we are concerned with the oscillation of third order nonlinear delay differential equations of the form ( r2 (t) ( r1 (t)x′ )′)′ + p (t)x′ + q (t) f (x (g (t))) = 0. We establish some new sufficient conditions which insure that every solution of this equation either oscillates or converges to zero.

A Third Order Iterative Method for Finding Zeros of Nonlinear Equations

‎In this paper‎, ‎we present a new modification of Newton's method‎ ‎for finding a simple root of a nonlinear equation‎. ‎It has been‎ ‎proved that the new method converges cubically‎.

λ-Symmetry method and the Prelle-Singer method for third-order differential equations

In this paper, we will obtain first integral, integrating factor and λ-symmetry of third-order ODEs u ⃛=F(x,u,u ̇,u ̈). Also we compare Prelle -Singer (PS) method and λ-symmetry method for third-order differential equations.In this paper, we will obtain first integral, integrating factor and λ-symmetry of third-order ODEs u ⃛=F(x,u,u ̇,u ̈). Also we compare Prelle -Singer (PS) method and λ-symmetry m...

THIRD-ORDER AND FOURTH-ORDER ITERATIVE METHODS FREE FROM SECOND DERIVATIVE FOR FINDING MULTIPLE ROOTS OF NONLINEAR EQUATIONS

In this paper, we present two new families of third-order and fourth-order methods for finding multiple roots of nonlinear equations. Each of them requires one evaluation of the function and two of its first derivative per iteration. Several numerical examples are given to illustrate the performance of the presented methods.