In this paper we consider a second order differential equation involving the difference of two monotone operators. Using an auxiliary equation, a priori bounds and a compactness argument we show that the differential equation has a local solution. An example is also presented in detail.
@article{bwmeta1.element.bwnjournal-article-div16i2n4bwm, author = {Dimitrios A. Kandilakis}, title = {An existence result for nonlinear evolution equations of second order}, journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization}, volume = {16}, year = {1996}, pages = {153-160}, zbl = {0910.35002}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-div16i2n4bwm} }
Dimitrios A. Kandilakis. An existence result for nonlinear evolution equations of second order. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 16 (1996) pp. 153-160. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-div16i2n4bwm/
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