nonlinear equations
A Novel Iterative Method for Nonlinear Equations
... Abstract—Based on the idea that the iterative error function can be applied to extrapolation to zero for SAM, a novel acceleration iterative scheme is obtained by using the quadratic interpolation error function. ...
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Pseudo-transient continuation for nonsmooth nonlinear equations
... nonsmooth nonlinear equations in function spaces and their discretizations, we used properties of the solution to isolate a smooth component of the nonlinear- ...
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Inverse Iterative Methods for Solving Nonlinear Equations
... solving nonlinear equations is one of the classical problems which arise in several branches of pure and applied ...solving nonlinear equations always has been an attractive ...
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An Iterative Method to Solve Nonlinear Equations
... One iterative method to calculate complex roots of a non-linear equation have been used in this work. The non-linear equation (26) is generated for each node of electric power system, with its first derivative with ...
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Unbounded Supersolutions of Nonlinear Equations with Nonstandard Growth
... It has turned out that regularity results for weak solutions of (1.1) do not hold without additional assumptions on the variable exponent. In [1] Zhikov introduced a logarith- mic condition on modulus of continuity. ...
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Solving some nonlinear equations by successive approximations
... 1. Introduction. Iterations processes are powerful tools for solving both differen- tial and integral equations in a complete metric space. One of the generalizations of the Picard iterations scheme consists of ...
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Associated transforms for solution of nonlinear equations
... In systems engineering, nonlinear differential or integrodifferential equations are solved using multiple dimensional Laplace transform.. A commonly used method for obtaining the inverse[r] ...
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Short Solutions to Nonlinear Systems of Equations
... Abstract. This paper presents a new hard problem for use in cryptogra- phy, called Short Solutions to Nonlinear Equations (SSNE). This problem generalizes the Multivariate Quadratic (MQ) problem by ...
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The application of dressing method on nonlinear evolution equations
... prototype equations of soliton theory because it has a remarkable mathematical property which leads to the understanding of the fundamental ideas lies behind the soliton ...
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Stabilisation and destabilisation of nonlinear differential equations by noise
... (see e.g. Mao et al. [20]). Although the condition (1.4) allows for a wider class of SDEs to be studied than (1.3), and in particular, means that we can study equations where neither f nor g obey a global linear ...
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Behavior of second order nonlinear differantial equations
... BEHAVIOR OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS RINA LING Department of Mathematics California State University Los Angeles, California 90032 Received November 29, 1977 and in [r] ...
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Nonlinear delay differential equations with small lag
... Green-Liouville formulae for second order delay differential equations, To appear... Asymptotic integration of the functional differential equation y’t.[r] ...
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Symmetrized solutions for nonlinear stochastic differential equations
... Solutions of nonlinear stochastic differential equations in series form.. can be put into convenient symmetrized forms which are easily calculable..[r] ...
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Stability problem of some nonlinear difference equations
... Our aim in this paper is to study the asymptotic stability of the rational recursive sequence 1.4 when p 2, see section 2.. On the basis of the results of section 2 we also investigate t[r] ...
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Equivalent differential equations for nonlinear dynamical systems
... In Chapt e r III, the relationship b e tween the differ<~ntia l equation error (the differ e nce between the original system and the equivalent system) and the sol[r] ...
218
Nonlinear functional integrodifferential equations in Hilbert space
... [1] M. B. Dhakne and B. G. Pachpatte, On some abstract functional integrodifferential equations, Indian J. Pure Appl. Math. 22 (1991), no. 2, 109–134. MR 92e:47127. Zbl 728.45013. [2] J. M. Jeong, S. Nakagiri, and ...
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Identification problems for systems of nonlinear evolution equations and functional equations
... of nonlinear differential and differential-difference evolution ...functional equations by using the given data and then we obtain the solution by the method of Kuczma (Functional Equations in a Single ...
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Existence and approximate solutions of nonlinear integral equations
... amount of work has been done in the existence and uniqueness of solutions of some special cases of Volterra integral equations, see for example [3, 6, 10, 18]. Under some conditions on the function g(t,s,x) and by ...
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Nonlinear Transformation of Differential Equations into Phase Space
... a nonlinear transformation one obtains a two- dimensional function which shows clearly the physical na- ture of the solution and the relation with the driving ...
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Periodic solutions of nonlinear vector difference equations
... Essentially nonlinear difference equations in a Euclidean space are considered. Condi- tions for the existence of periodic solutions and solution estimates are derived. Our main tool is a combined usage of ...
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