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

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2006)

- Volume: 26, Issue: 1, page 129-141
- ISSN: 1509-9407

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topChristopher C. Tisdell. "Systems of differential inclusions in the absence of maximum principles and growth conditions." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 26.1 (2006): 129-141. <http://eudml.org/doc/271168>.

@article{ChristopherC2006,

abstract = {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 BVPs for differential inclusions. The new conditions allow the treatment of systems of BVPs in the absence of maximum principles and growth conditions. The results are also new for differential equations involving Carathéodory or even continuous right-hand sides.},

author = {Christopher C. Tisdell},

journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},

keywords = {boundary value problem; systems of differential inclusions; existence of solutions; a priori bounds; two-point boundary conditions; three-point boundary conditions; system of differential inclusion; two-point boundary value problem; three-point boundary value problem},

language = {eng},

number = {1},

pages = {129-141},

title = {Systems of differential inclusions in the absence of maximum principles and growth conditions},

url = {http://eudml.org/doc/271168},

volume = {26},

year = {2006},

}

TY - JOUR

AU - Christopher C. Tisdell

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

JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization

PY - 2006

VL - 26

IS - 1

SP - 129

EP - 141

AB - 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 BVPs for differential inclusions. The new conditions allow the treatment of systems of BVPs in the absence of maximum principles and growth conditions. The results are also new for differential equations involving Carathéodory or even continuous right-hand sides.

LA - eng

KW - boundary value problem; systems of differential inclusions; existence of solutions; a priori bounds; two-point boundary conditions; three-point boundary conditions; system of differential inclusion; two-point boundary value problem; three-point boundary value problem

UR - http://eudml.org/doc/271168

ER -

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