Results 1 to 10 of about 296 (136)
Sturm-Liouville problem with nonlocal boundary conditions arises in many scientific fields such as chemistry, physics, or biology. There could be found some references to graph theory in a discrete Sturm-Liouville problem, especially in investigation of ...
Jonas Vitkauskas, Artūras Štikonas
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Research on singular Sturm–Liouville spectral problems with a weighted function
As early as 1910, Weyl gave a classification of the singular Sturm–Liouville equation, and divided it into the Limit Point Case and the Limit Circle Case at infinity. This led to the study of singular Sturm–Liouville spectrum theory. With the development
Shuning Tang
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On an Integral Equation with the Riemann Function Kernel
This paper is concerned with a study of a special integral equation. This integral equation arises in many applied problems, including transmutation theory, inverse scattering problems, the solution of singular Sturm–Liouville and Shrödinger equations ...
Sergei Sitnik, Abdul Ahad Arian
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The history of boundary value problems for differential equations starts with the well-known studies of D. Bernoulli, J. D’Alambert, C. Sturm, J. Liouville, L. Euler, G. Birkhoff and V. Steklov.
Oktay Sh. Mukhtarov, Merve Yücel
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On a Partial Fractional Hybrid Version of Generalized Sturm–Liouville–Langevin Equation
As we know one of the most important equations which have many applications in various areas of physics, mathematics, and financial markets, is the Sturm–Liouville equation.
Zohreh Heydarpour +4 more
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The Regulator Problem to the Convection–Diffusion Equation
In this paper, from linear operator, semigroup and Sturm–Liouville problem theories, an abstract system model for the convection–diffusion (C–D) equation is proposed.
Andrés A. Ramírez, Francisco Jurado
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On the Finite Orthogonality of q-Pseudo-Jacobi Polynomials
Using the Sturm–Liouville theory in q-difference spaces, we prove the finite orthogonality of q-Pseudo Jacobi polynomials. Their norm square values are then explicitly computed by means of the Favard theorem.
Mohammad Masjed-Jamei +3 more
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Non-classical periodic boundary value problems with impulsive conditions
This study investigates some spectral properties of a new type of periodic Sturm-Liouville problem. The problem under consideration differs from the classical ones in that the differential equation is given on two disjoint segments that have a common end,
Sevda Nur Öztürk +2 more
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Sturm-Liouville difference equations having Bessel and hydrogen atom potential type
In this work, we bring a different approach for Sturm-Liouville problems having Bessel and hydrogen atom type and we provide a basis for direct and inverse problems.
Bas Erdal +2 more
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This paper is associated with Sturm–Liouville type boundary value problems and periodic boundary value problems for quaternion-valued differential equations (QDEs).
Jie Liu, Siyu Sun, Zhibo Cheng
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