Linear functional differential equations possessing solutions with a given growth rate
Copyright policy )Linear functional differential equations possessing solutions with a given growth rate
The authors consider the linear nonhomogeneous functional-differential equation \[ u'(t) = (lu)(t) + f(t). \] Optimal conditions are obtained under which, for arbitrary forcing terms from a suitable class, the equation in a preordered Banach space has solutions satisfying a certain growth restriction.
- University of the West United States
- Institute of Mathematics Ukraine
- Florida Institute of Technology United States
- National Academy of Sciences of Ukraine Ukraine
- Czech Academy of Sciences Czech Republic
Cauchy problem, Growth, boundedness, comparison of solutions to functional-differential equations, Applied Mathematics, Linear functional-differential equations, Discrete Mathematics and Combinatorics, initial value problem, linear equations, functional differential equation, Analysis, functional-differential equations, solutions with a given growth restriction
Cauchy problem, Growth, boundedness, comparison of solutions to functional-differential equations, Applied Mathematics, Linear functional-differential equations, Discrete Mathematics and Combinatorics, initial value problem, linear equations, functional differential equation, Analysis, functional-differential equations, solutions with a given growth restriction
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