Murat Adivar | Izmir University of Economics (original) (raw)

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Papers by Murat Adivar

Research paper thumbnail of FUNCTION BOUNDS FOR SOLUTIONS OF VOLTERRA INTEGRO DYNAMIC EQUATIONS ON TIME SCALES

Introducing shift operators on time scales we construct the integro-dynamic equation correspondin... more Introducing shift operators on time scales we construct the integro-dynamic equation corresponding to the convolution type Volterra differential and difference equations in particular cases T = R and T = Z. Extending the scope of time scale variant of Gronwall's inequality we determine function bounds for the solutions of the integro dynamic equation.

Research paper thumbnail of LARGE CONTRACTION AND ITS APPLICATIONS TO TOTALLY NONLINEAR DELAY DIFFERENTIAL EQUATIONS

In , Burton used the idea of large contraction coupled with Krasnoseskii's …xed point theorem and... more In , Burton used the idea of large contraction coupled with Krasnoseskii's …xed point theorem and showed that the zero solution of the nonlinear delay di¤erential equation

Research paper thumbnail of Spectral singularities of the nonhomogeneous Sturm-Liouville equations

Applied Mathematics Letters, 2002

Let us consider the nonhomogeneous boundary value problem -Y" + q(r)y -X2Y = f(z),

Research paper thumbnail of Spectral analysis of q-difference equations with spectral singularities

Mathematical and Computer Modelling, 2006

In this paper we investigate the eigenvalues and the spectral singularities of non-selfadjoint q-... more In this paper we investigate the eigenvalues and the spectral singularities of non-selfadjoint q-difference equations of second order with spectral singularities.

Research paper thumbnail of Difference equations of second order with spectral singularities

Journal of Mathematical Analysis and Applications, 2003

In this paper using the uniqueness theorem of analytic functions we investigated the eigenvalues ... more In this paper using the uniqueness theorem of analytic functions we investigated the eigenvalues and the spectral singularities of the difference equation a n−1 y n−1 + b n y n + a n y n+1 = λy n , n∈ Z = {0, ±1, ±2, . . .}, where t{a n } n∈Z , {b n } n∈Z are complex sequences and λ is a spectral parameter.

Research paper thumbnail of FUNCTION BOUNDS FOR SOLUTIONS OF VOLTERRA INTEGRO DYNAMIC EQUATIONS ON TIME SCALES

Introducing shift operators on time scales we construct the integro-dynamic equation correspondin... more Introducing shift operators on time scales we construct the integro-dynamic equation corresponding to the convolution type Volterra differential and difference equations in particular cases T = R and T = Z. Extending the scope of time scale variant of Gronwall's inequality we determine function bounds for the solutions of the integro dynamic equation.

Research paper thumbnail of LARGE CONTRACTION AND ITS APPLICATIONS TO TOTALLY NONLINEAR DELAY DIFFERENTIAL EQUATIONS

In , Burton used the idea of large contraction coupled with Krasnoseskii's …xed point theorem and... more In , Burton used the idea of large contraction coupled with Krasnoseskii's …xed point theorem and showed that the zero solution of the nonlinear delay di¤erential equation

Research paper thumbnail of Spectral singularities of the nonhomogeneous Sturm-Liouville equations

Applied Mathematics Letters, 2002

Let us consider the nonhomogeneous boundary value problem -Y" + q(r)y -X2Y = f(z),

Research paper thumbnail of Spectral analysis of q-difference equations with spectral singularities

Mathematical and Computer Modelling, 2006

In this paper we investigate the eigenvalues and the spectral singularities of non-selfadjoint q-... more In this paper we investigate the eigenvalues and the spectral singularities of non-selfadjoint q-difference equations of second order with spectral singularities.

Research paper thumbnail of Difference equations of second order with spectral singularities

Journal of Mathematical Analysis and Applications, 2003

In this paper using the uniqueness theorem of analytic functions we investigated the eigenvalues ... more In this paper using the uniqueness theorem of analytic functions we investigated the eigenvalues and the spectral singularities of the difference equation a n−1 y n−1 + b n y n + a n y n+1 = λy n , n∈ Z = {0, ±1, ±2, . . .}, where t{a n } n∈Z , {b n } n∈Z are complex sequences and λ is a spectral parameter.

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