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q-damped Oscillator and degenerate roots of constant coefficients q-difference ODE
q-damped Oscillator degenerate roots coefficients q-difference ODE
2011/9/5
Abstract: The classical model of q-damped oscillator is introduced and solved in terms of Jackson q-exponential function for three different cases, under-damped, over-damped and the critical one. It i...
Higher order Glaeser inequalities and optimal regularity of roots of real functions
Glaeser inequality absolutely continuous functions roots of real functions Holder continuous functions
2011/9/6
Abstract: We prove a higher order generalization of Glaeser inequality, according to which one can estimate the first derivative of a function in terms of the function itself, and the Holder constant ...