Displaying similar documents to “Boundary value problems for ODEs”

Multipoint boundary value problems for ODEs. Part II

Tadeusz Jankowski (2004)

Czechoslovak Mathematical Journal

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We apply the method of quasilinearization to multipoint boundary value problems for ordinary differential equations showing that the corresponding monotone iterations converge to the unique solution of our problem and this convergence is quadratic.

An extension of the method of quasilinearization

Tadeusz Jankowski (2003)

Archivum Mathematicum

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The method of quasilinearization is a well–known technique for obtaining approximate solutions of nonlinear differential equations. This method has recently been generalized and extended using less restrictive assumptions so as to apply to a larger class of differential equations. In this paper, we use this technique to nonlinear differential problems.

Non-oscillation of second order linear self-adjoint nonhomogeneous difference equations

N. Parhi (2011)

Mathematica Bohemica

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In the paper, conditions are obtained, in terms of coefficient functions, which are necessary as well as sufficient for non-oscillation/oscillation of all solutions of self-adjoint linear homogeneous equations of the form Δ ( p n - 1 Δ y n - 1 ) + q y n = 0 , n ≥ 1 , where q is a constant. Sufficient conditions, in terms of coefficient functions, are obtained for non-oscillation of all solutions of nonlinear non-homogeneous equations of the type Δ ( p n - 1 Δ y n - 1 ) + q n g ( y n ) = f n - 1 , n ≥ 1 , where, unlike earlier works, f n ≥ 0 or ≤ 0 (but ¬ ≡ 0 ) for large n . Further, these results are...