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equation to prove. Then we will have an equation that is totally expressed in independent variables, i.e. we have transformed the problem to the case of 0 equations given.
It is apparent that the particular form of the constitutive law adopted for an LCM must entail certain minimal symmetries, namely, certain local changes of reference configuration
While a solution may not exist for some values of d , when it does for a particular d , it is well known that the smallest solution can be surprisingly large. When solutions exist,
Thus, we have proposed an alternate stability criterion for the scalar equation (3), and the criterion may be considered for cases where Burton’s Theorem 1, though simpler, cannot
Nihari, On the zeros of solutions of second order linear differential equations , Amer. Pachpatte, On Liapunov-type inequalities for certain higher
Tun¸c, Stability criteria for certain third order nonlinear delay differential
The symmetry group of the cylindrical Laplace equation has not any nonconstant ordinary differential invariants, i.e., it does not have any differential invariants of order zero,
This function can be used to calculate the expected present value of a penalty that is due at ruin, and, if it is interpreted as a probability generating function, to obtain
