On the solvability of nonlinear first-order boundary-value problems.
Positive periodic solutions of functional discrete systems and population models.
Positive symmetric solutions of singular semipositone boundary value problems.
On exact controllability of first-order impulsive differential equations.
Third-order nonlocal problems with sign-changing nonlinearity on time scales.
Existence and uniqueness of solutions to first-order systems of nonlinear impulsive boundary-value problems with sub-, super-linear or linear growth.
Two classical periodic problems on time scales.
On boundary value problems for second-order discrete inclusions.
On vector boundary value problems without growth restrictions.
Terminal value problems for first and second order nonlinear equations on time scales.
Existence, uniqueness and constructive results for delay differential equations.
On the existence and uniqueness of solutions to boundary value problems on time scales.
Systems of differential inclusions in the absence of maximum principles and growth conditions
This article investigates the existence of solutions to second-order boundary value problems (BVPs) for systems of ordinary differential inclusions. The boundary conditions may involve two or more points. Some new inequalities are presented that guarantee a priori bounds on solutions to the differential inclusion under consideration. These a priori bound results are then applied, in conjunction with appropriate topological methods, to prove some new existence theorems for solutions to systems of...
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