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# Maximum and anti-maximum principles for the general operator of second order with variable coefficients

@article{Barteneva2003MaximumAA, title={Maximum and anti-maximum principles for the general operator of second order with variable coefficients}, author={Irina V. Barteneva and Alberto Cabada and Alexander O. Ignatyev}, journal={Applied Mathematics and Computation}, year={2003}, volume={134}, pages={173-184} }

- Published 2003 in Applied Mathematics and Computation
DOI:10.1016/S0096-3003(01)00280-6

This paper is devoted to the study of existence of solutions of the nonlinear secondorder differential equation u00ðtÞ þ pðtÞu0ðtÞ þ f ðt; uðtÞÞ 1⁄4 0 together with different types of linear boundary conditions. To this end we assume the existence of a pair of ordered lower and upper solutions and deduce comparison results for the general linear operator Lðp; qÞuðtÞ u00ðtÞ þ pðtÞu0ðtÞ þ qðtÞuðtÞ together with the condisered boundary conditions. 2002 Elsevier Science Inc. All rights reserved.