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This paper presents a minimax method which gives existence and multiplicity results for time periodic solutions of a class of Hamiltonian systems when a singular potential is present.
Figure 1 gives existence regions of the equilibria (E_{0}), (E_{1}), and (E_{2}), and (E^).
Notice that this result gives existence on R +, finite-time explosion is impossible for this delayed differential equation.
For such an efficient cause entirely prevents the nonexistence of its effect; it gives complete existence to the effect (Avicenna MH: 203; Marmura 1984).
The universe consists of a chain of actual beings, each giving existence to the one below it and responsible for the existence of the rest of the chain below.
Eckehart meant that creatures have no existence of their own but are given existence by God, as the body is made to exist and is contained by the soul.
We give existence and nonexistence results, depending on the parameters p and λ.
The latter may give a substantial increase in the rate of genetic gain of the population, given existence of significant social genetic effects.
Secondly, we give existence results of positive entire solutions of system (1.1).
The goal of this paper is to give existence and uniqueness results for the problem (1.1).
In Section 3, we give existence of solutions to abstract strongly damped wave equations.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com