That is to say that they do not necessarily transform the existence problem of (1.1) to existence problems for related systems (1.3).
In order to establish a variational structure which enables us to transform the existence of solutions for boundary value problem (1.1) into the existence of critical points for the corresponding functional, it is necessary to construct an appropriate function space.
Grosz's recent work (2005, 2008), exploring biology and its relationship to culture, shows an increasing interest in unraveling the nature/culture opposition by a stress on "the virtualities, the potentialities, within biological existence that enable cultural, social, and historical forces to work with and transform that existence" (2008, 24).
To believe that every moral question can be resolved by analagous reference to the past is to deny that history happens, that we fundamentally transform our existence.
Strictly speaking, a stationary random process does not have a Fourier transform because existence conditions are not satisfied.
Then we may transform our existence problem of positive solutions of BVP (3.1) into a fixed point problem of operator (3.13).
Thus, the person who thinks she is a coward "just as a matter of fact" is excluding from view the ability to transform her existence through changed ways of behaving.
The national boundary has the potential to transform co-existence into the fixed lines of enemies.
At the memorial service, Adlai Stevenson asked, "What other single human being has touched and transformed the existence of so many?" He further praised her by stating, "She would rather light a candle than curse the darkness, and her glow has warmed the world".
The variational method and critical point theory are employed to investigate the existence of solutions for 2 th-order difference equation for with boundary value condition by constructing a functional, which transforms the existence of solutions of the boundary value problem (BVP) to the existence of critical points for the functional.
