Shahul-Hameed, Jaffar Ali

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Embry-Riddle Aeronautical University

Positive Solutions for a Derivative Dependent p-LaplacianEquation with Riemann-Stieltjes Integral BoundaryConditionsJaffar Ali Shahul-Hameed1Department of MathematicsFlorida Gulf Coast University,Fort Myers, FL 333965.e-mail: jashahulhameed@fgcu.eduAbstractIn this talk, we will discuss the existence of two non-trivial positive solutionsto a class of boundary value problems (BVP), involving a p-Laplacian, of theform:(Φp(x′))′+ g(t)f(t, x, x′) = 0, t ∈ (0, 1),x(0)− ax′(0) = α[x],x(1) + bx′(1) = β[x],where Φp(x) = |x|p−2x is a one dimensional p-Laplacian operator with p >1, a, b are real constants. Here α, β are given by Riemann-Stieltjes integralsα[x] =1∫0x(t)dA(t), β[x] =1∫0x(t)dB(t),where A and B are functions of bounded variations. We will use the fixed pointindex theory to establish our results.1Joint work with S. Padhi

Positive Solutions for a Derivative Dependent p-Laplacian Equation with Riemann-Stieltjes Integral Boundary Conditions

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Positive Solutions for a Derivative Dependent p-Laplacian Equation with Riemann-Stieltjes Integral Boundary Conditions

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