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Approximation Methods for Solving the Cauchy Problem
In this paper we give some new results concerning solvability of the 1-dimensional differential equation y ′ = f ( x, y ) with initial conditions. We...
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Explicit square conserving schemes of Landau-Lifshitz equation with Gilbert component
A kind of explicit square-conserving scheme is proposed for the Landau-Lifshitz equation with Gilbert component. The basic idea was to semidiscrete...
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Multipoint Boundary Value Problems for Odes. Part II
We apply the method of quasilinearization to multipoint boundary value problems for ordinary differential equations showing that the corresponding...
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Boundary Value Problems for Odes
We use the method of quasilinearization to boundary value problems of ordinary differential equations showing that the corresponding monotone...
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Towards Fully Discretized Differential Inclusions
Euler schemes for the calculation of the solution set for a differential inclusion are investigated. Under Lipschitz and convexity conditions on the...
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Functional differential equations
The method of quasilinearization is a well-known technique for obtaining approximate solutions of nonlinear differential equations. In this paper we...
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Differential Operators with Second-Order Degeneracy and Positive Approximation Processes
A sequence of integral operators acting on continuous functions on [0,+∈fty[ is introduced in order to study the semigroup of operators generated by...
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Convergence of Monotone Iterations for Differential Problem
We use the method of lower and upper solutions combined with monotone iterations to differential problems with a parameter. Existence of extremal...
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On a differential-algebraic problem
The method of quasilinearization is a procedure for obtaining approximate solutions of differential equations. In this paper, this technique is...
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The Transient Behavior of an Oscillator
In this paper the nonlinear autonomous equation \( \dot z = \,g(z), \)...
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