6533b836fe1ef96bd12a1569

RESEARCH PRODUCT

Nonlocal Third Order Boundary Value Problems with Solutions that Change Sign

Sergey Smirnov

subject

Mathematical analysisestimation of the number of solutionsMixed boundary conditionSingular boundary methodBoundary knot methodRobin boundary conditionnonlocal boundary conditionsBoundary conditions in CFDShooting methodModeling and SimulationQA1-939nonlinear boundary value problemsBoundary value problemMathematicsAnalysisSign (mathematics)Mathematics

description

We investigate the existence and the number of solutions for a third order boundary value problem with nonlocal boundary conditions in connection with the oscillatory behavior of solutions. The combination of the shooting method and scaling method is used in the proofs of our main results. Examples are included to illustrate the results.

yearjournalcountryeditionlanguage
2014-04-15Mathematical Modelling and Analysis
10.3846/13926292.2014.908792http://journals.vgtu.lt/index.php/MMA/article/view/3276