On existence and uniqueness of generalized solutions for a mixed-type differential equation.

QR Code

On existence and uniqueness of generalized solutions for a mixed-type differential equation.

In this paper, we study a boundary value problem for a mixed–type differential equation. The existence and uniqueness of generalized solution is proved. The proof is based on an energy inequality and the density of the range of the operator generated by this problem.

Bibliographic Details
Main Authors:	Elzaki, Tarig M., Kilicman, Adem, Eltayeb, Hassan
Format:	Article
Language:	English English
Published:	Canadian Center of Science and Education 2010
Online Access:	http://psasir.upm.edu.my/id/eprint/15896/ http://psasir.upm.edu.my/id/eprint/15896/1/On%20existence%20and%20uniqueness%20of%20generalized%20solutions%20for%20a%20mixed.pdf

Similar Items

Existence and uniqueness of the solution for an infinite system of differential equations.
by: Ibragimov, Gafurjan, et al.
Published: (2008)

Uniqueness and existence of positive solutions for the fractional integro-differential equation
by: Wang, Y., et al.
Published: (2017)

Existence and uniqueness of a positive solution to singular fractional differential equations
by: Wang, Y., et al.
Published: (2012)

Existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations
by: Zhang, Xinguang, et al.
Published: (2012)

Toward the existence and uniqueness of solutions for fractional integro-differential equations under uncertainty
by: Hosseini, Ali Ahmadian, et al.
Published: (2016)

Existences and uniqueness of solutions for some classes of iterative fractional functional integral and differential equations
by: Damag, Faten Hasan Mohammed
Published: (2017)

Integral transforms and partial differential equations
by: Kilicman, Adem, et al.
Published: (2009)

Existence and uniqueness of solutions for systems of fractional differential equations with Riemann–Stieltjes integral boundary condition
by: Zhang, X., et al.
Published: (2018)

A note on the Sumudu transforms and differential equations
by: Eltayeb, Hassan, et al.
Published: (2010)

On a new integral transform and differential equations.
by: Kilicman, Adem, et al.
Published: (2010)

Existence and uniqueness of nontrivial solutions to a system of fractional differential equations with Riemann–Stieltjes integral conditions
by: Liu, B., et al.
Published: (2018)

A note on integral transform and system of differential equations
by: Eltayeb, Hassan, et al.
Published: (2009)

On existence and uniqueness of the global weak solution for a shallow water equation
by: Guo, Y., et al.
Published: (2012)

On the partial differential equations with non-constant coefficients and convolution method.
by: Kilicman, Adem, et al.
Published: (2010)

Some remarks on the Sumudu and Laplace transforms and applications to differential equations
by: Kilicman, Adem, et al.
Published: (2012)

Existence of a unique solution of an infinite three-coupled system model of ordinary differential equations in Hilbert space
by: Mat Hasim, Risman, et al.
Published: (2024)

A note on integral transforms and partial differential equations
by: Kilicman, Adem, et al.
Published: (2010)

Note on partial differential equations with non-constant coefficients and convolution method
by: Kilicman, Adem, et al.
Published: (2012)

The existence and uniqueness of solutions to a functional equation arising in psychological learning theory
by: Turab, Ali, et al.
Published: (2023)

Mixed solutions of monotone iterative technique for hybrid fractional differential equations
by: Damag, Faten H., et al.
Published: (2019)

On Sumudu transform and system of differential equations
by: Kilicman, Adem, et al.
Published: (2010)

A note on integral transforms and differential equations
by: Kilicman, Adem, et al.
Published: (2012)

Sufficient conditions on existence of solution for nonlinear fractional iterative integral equation
by: Damag, Faten H. M., et al.
Published: (2017)

On resonant mixed Caputo fractional differential equations
by: Lakoud, Assia Guezane, et al.
Published: (2020)

Existence of solutions for a mixed fractional boundary value problem
by: Lakoud, Assia Guezane, et al.
Published: (2017)

The existence-uniqueness theorem for a system of differential equations in the spaces l2r+1
by: Allahabi, Fateh Abdo Ali
Published: (2011)

Existence and uniqueness of solutions of piecewise nonlinear systems
by: Wu, C., et al.
Published: (2009)

A note on solutions of wave, Laplace’s and heat equations with convolution terms by using a double Laplace transform
by: Eltayeb, Hassan, et al.
Published: (2008)

The existence of weak solutions for a generalized Camassa-Holm equation
by: Lai, S., et al.
Published: (2011)

The existence and uniqueness of positive monotone solutions for a class of nonlinear Schrödinger equations on infinite domains
by: Sun, Y., et al.
Published: (2017)

Some solution of the fractional iterative integro-differential equations
by: Kilicman, Adem, et al.
Published: (2018)

Existence and uniqueness of positive solutions for singular fractional differential systems with coupled integral boundary conditions
by: Liu, Lishan, et al.
Published: (2017)

Uniqueness and existence of positive solutions for singular differential systems with coupled integral boundary value problems
by: Cui, Y., et al.
Published: (2013)

Existence and uniqueness of solutions for nonlocal p-Laplacian problems
by: Behrouz, Emamizadeh, et al.
Published: (2016)

Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary conditions
by: Zuo, M., et al.
Published: (2017)

Sufficient conditions for the existence and uniqueness of minimizers for variational problems under uncertainty
by: Verma, Mansi, et al.
Published: (2022)

Existence of solutions to various classes of nonlinear elliptic differential equations and their applications
by: Wei, Na
Published: (2020)

Note on the wave equation and tensor products.
by: Kilicman, Adem, et al.
Published: (2011)

Approximate solution of integro-differential equation of fractional (arbitrary) order
by: A. Elbeleze, Asma, et al.
Published: (2016)

A note on double Laplace transform and telegraphic equations
by: Eltayeb, Hassan, et al.
Published: (2013)