Description:This book is not available.In this manuscript we study boundary value problems on time scales. First we will examine weakly nonlinear boundary value problems and analyze problems at resonance; that is, problems where the homogeneous linear boundary value problem has a nontrivial solution space. We establish conditions for the existence of solutions and discuss the dependence of solutions on parameters. Next we consider the existence and properties of solutions to nonlinear dynamic equations of the subject to global boundary conditions. Our most significant result in this section concerns the existence of solutions of problems where the nonlinearity exhibits sublinear growth. Finally we establish sufficient conditions for the solvability of nonlinear scalar two-point boundary value problems at resonance. As a consequence of our results we are able to provide easily verifiable conditions for the existence of periodic behavior for dynamic equations on time scales...North Carolina State University, 2009We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with On the Solvability of Nonlinear Boundary Value Problems on Time Scales. To get started finding On the Solvability of Nonlinear Boundary Value Problems on Time Scales, you are right to find our website which has a comprehensive collection of manuals listed. Our library is the biggest of these that have literally hundreds of thousands of different products represented.
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On the Solvability of Nonlinear Boundary Value Problems on Time Scales
Description: This book is not available.In this manuscript we study boundary value problems on time scales. First we will examine weakly nonlinear boundary value problems and analyze problems at resonance; that is, problems where the homogeneous linear boundary value problem has a nontrivial solution space. We establish conditions for the existence of solutions and discuss the dependence of solutions on parameters. Next we consider the existence and properties of solutions to nonlinear dynamic equations of the subject to global boundary conditions. Our most significant result in this section concerns the existence of solutions of problems where the nonlinearity exhibits sublinear growth. Finally we establish sufficient conditions for the solvability of nonlinear scalar two-point boundary value problems at resonance. As a consequence of our results we are able to provide easily verifiable conditions for the existence of periodic behavior for dynamic equations on time scales...North Carolina State University, 2009We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with On the Solvability of Nonlinear Boundary Value Problems on Time Scales. To get started finding On the Solvability of Nonlinear Boundary Value Problems on Time Scales, you are right to find our website which has a comprehensive collection of manuals listed. Our library is the biggest of these that have literally hundreds of thousands of different products represented.