Geodesic
The strong monotonicity condition for piecewise smooth function on solutions of differental inclusions
Dalʹnevostočnyj matematičeskij žurnal, Tome 10 (2010) no. 2, pp. 185-191

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The condition of decreasing of function on solutions of differential conslusion is studied. Weakened condition in the case of a piecewise smooth function is suggested. 
@article{DVMG_2010_10_2_a7,
     author = {Lee Kuh Hwan},
     title = {The strong monotonicity condition for piecewise smooth function on solutions of differental inclusions},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {185--191},
     publisher = {mathdoc},
     volume = {10},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2010_10_2_a7/}
}
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Lee Kuh Hwan. The strong monotonicity condition for piecewise smooth function on solutions of differental inclusions. Dalʹnevostočnyj matematičeskij žurnal, Tome 10 (2010) no. 2, pp. 185-191. http://geodesic.mathdoc.fr/item/DVMG_2010_10_2_a7/