A four-point problem for second-order differential systems

Pavel Calábek

Displaying similar documents to “A four-point problem for second-order differential systems”

Systems of differential inclusions in the absence of maximum principles and growth conditions

Christopher C. Tisdell (2006)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

Similarity:

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...

On a certain three-point boundary value problem

Irena Rachůnková (1989)

Mathematica Slovaca

Similarity:

On certain three-point regular boundary value problems for nonlinear second-order differential equations depending on the parameter

Staněk, Svatoslav (1994)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Similarity:

On some three-point problems for third-order differential equations

Irena Rachůnková (1992)

Mathematica Bohemica

Similarity:

This paper is concerned with existence and uniqueness of solutions of the three-point problem $u^{'''} = f (t, u, u^{'}, u^{''}), u (c) = 0, u^{'} (a) = u^{'} (b) . u^{''} (a) = u^{''} (b), a \leq c \leq b$ . The problem is at resonance, in the sense that the associated linear problem has non-trivial solutions. We use the method of lower and upper solutions.