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Displaying 2441 –
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We prove two existence results on abstract differential equations of the type and we give some applications of them to partial differential equations.
Consider the forced higher-order nonlinear neutral functional differential equation
where are integers, , , , . Some sufficient conditions for the existence of a nonoscillatory solution of above equation are obtained for general
We consider the existence of at least one positive solution to the dynamic boundary value problem
where is an arbitrary time scale with and satisfying , , , , and where the boundary conditions at and can be both nonlinear and nonlocal. This extends some recent results on second-order semipositone dynamic boundary value problems, and we illustrate these extensions with some examples.
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