Cosmological Constant, Quintessence and Expansive Nondecelerative Universe

Recent observations of the Universe have led to a conclusion suppressing an up-to-now supposed deceleration of the Universe caused by attractive gravitational forces. Contrary, there is a renaissance of the cosmological member lambda and introduction of enigmatic repulsive dark energy in attempts to rationalize a would-be acceleration of the Universe expansion. It is documented that the model of Expansive Nondecelerative Universe is capable to offer acceptable answers to the questions on the Universe expansion, state equations of the Universe, the parameter omega, the cosmological member lambda without any necessity to introduce new strange kinds of matter or energy being in accord with the fundamental conservation laws and generally accepted parameters of the Universe.