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  1. Fractional Evolution Equations with Nonlocal Initial Conditions and Superlinear Growth Nonlinear Terms

    We investigate the existence of solutions for a class of fractional evolution equations with nonlocal initial conditions and superlinear growth...

    Pengyu Chen, Wei Feng in Qualitative Theory of Dynamical Systems
    Article 04 January 2024
  2. On a Nonlocal Inverse Boundary Value Problem for the Sixth-Order Boussinesq Equation with Nonlocal Time Integral Conditions of the Second Kind

    Abstract

    A classical solution of a nonlinear inverse boundary value problem for the sixth-order Boussinesq equation with double dispersive term...

    A. S. Farajov in Mathematical Notes
    Article 01 December 2023
  3. Rothe’s Fixed Point Theorem and the Approximate Controllability of Semilinear Heat Equation with Impulses, Delays, and Nonlocal Conditions

    Under certain conditions, impulses, delays, and nonlocal conditions are known to be negligible in comparison with the duration of the process. From...

    Article 25 October 2023
  4. On the Solvability of an Essentially Nonlinear Elliptic Differential Equation with Nonlocal Boundary Conditions

    Abstract

    Sufficient conditions for the existence of a generalized solution to a nonlinear elliptic differential equation with nonlocal boundary...

    Article 01 February 2024
  5. Mild Solutions of a Class of Conformable Fractional Differential Equations with Nonlocal Conditions

    This paper deals with the existence, uniqueness and continuous dependence of mild solutions for a class of conformable fractional differential...

    Article 19 April 2023
  6. Two Problems for Fourth Order Equations with Nonlocal Conditions in Characteristic Domain

    We study the solvability of two characteristic problems for a fourth order equation with nonlocal conditions containing integrals of the solution....

    A. V. Gilev, L. S. Pulkina in Journal of Mathematical Sciences
    Article 01 March 2023
  7. Approximation by Nonlocal Problems

    In this Chapter we study a nonlocal counterpart of the least gradient problem, i.e. the minimization of the functional...
    Wojciech Górny, José M. Mazón in Functions of Least Gradient
    Chapter 2024
  8. Nonlocal doubly nonlinear diffusion problems with nonlinear boundary conditions

    We study the existence and uniqueness of mild and strong solutions of nonlocal nonlinear diffusion problems of p -Laplacian type with nonlinear...

    Marcos Solera, Julián Toledo in Journal of Evolution Equations
    Article Open access 08 March 2023
  9. Nonlinear Inverse Problems for Parabolic Equations with Time–Dependent Coefficients. Reduction to Nonlocal Problems with Samarskii–Ionkin Type Conditions

    We consider coefficient inverse problems of finding a solution and a time-dependent coefficient of a parabolic equation under boundary...

    A. I. Kozhanov, T. N. Shipina in Journal of Mathematical Sciences
    Article 23 August 2023
  10. A Study on Non-autonomous Second Order Evolution Equations with Nonlocal Conditions

    This article deals with the nonlocal problem to a class of nonlinear non-autonomous second order integro-differential evolution equation of mixed...

    Haide Gou, Yongxiang Li in Qualitative Theory of Dynamical Systems
    Article 02 June 2023
  11. On approximate controllability of semi-linear neutral integro-differential evolution systems with state-dependent nonlocal conditions

    This paper is concerned with the approximate controllability of a class of semi-linear neutral integro-differential equation with nonlocal condition....

    Article 17 July 2023
  12. Doubly Nonlinear Nonlocal Stationary Problems of Leray-Lions Type with Nonlinear Boundary Conditions

    Let \([X,\mathcal {B},m,\nu ]\) be a reversible random walk...
    José M. Mazón, Marcos Solera-Diana, J. Julián Toledo-Melero in Variational and Diffusion Problems in Random Walk Spaces
    Chapter 2023
  13. An Optimization-Based Strategy for Peridynamic-FEM Coupling and for the Prescription of Nonlocal Boundary Conditions

    We describe an optimization-based method for the coupling of a static peridynamic (PD) model and a static classical elasticity model. The approach...
    Marta D’Elia, David J. Littlewood, ... Pavel B. Bochev in A³N²M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models
    Chapter 2023
  14. Nonlocal Problem with Multipoint Perturbations of the Birkhoff Strongly Regular Boundary Conditions for an Even-Order Differential Operator

    We study spectral properties of a nonself-adjoint problem for a (2 n ) th order operator of differentiation with nonlocal conditions representing...

    Ya. О. Baranetskij, І. І. Demkiv, P. І. Kalenyuk in Journal of Mathematical Sciences
    Article 01 February 2023
  15. An investigation of a new Lyapunov-type inequality for Katugampola–Hilfer fractional BVP with nonlocal and integral boundary conditions

    In this manuscript, we focus our attention on investigating new Lyapunov-type inequalities ( LTIs ) for two classes of boundary value problems ( BVPs )...

    Sabri T. M. Thabet, Imed Kedim in Journal of Inequalities and Applications
    Article Open access 22 December 2023
  16. On a Coupled System of Nonlinear Generalized Fractional Differential Equations with Nonlocal Coupled Riemann–Stieltjes Boundary Conditions

    In this paper, we study a new class of coupled systems of nonlinear generalized fractional differential equations complemented with coupled nonlocal...

    Bashir Ahmad, Ahmed Alsaedi, Areej S. Aljahdali in Qualitative Theory of Dynamical Systems
    Article 12 June 2024
  17. On Solvability of a Linear Parabolic Problem with Nonlocal Boundary Conditions

    A linear parabolic equation with boundary conditions of the Bitsadze–Samarskii type is considered. An existence and uniqueness theorem for a...

    Article 15 January 2024
  18. Asymptotic analysis of Sturm–Liouville problem with Neumann and nonlocal two-point boundary conditions

    In this study, we obtain asymptotic expansions for eigenvalues and eigenfunctions of the one-dimensional Sturm–Liouville equation with one classical...

    Artūras Štikonas, Erdoğan Şen in Lithuanian Mathematical Journal
    Article 27 October 2022
  19. A Study on Decay Mild Solutions of Damped Elastic Systems with Nonlocal Conditions in Banach Spaces

    The goal of this paper is to consider damped elastic systems with nonlocal conditions in the framework of Banach spaces. Our first aim is to...

    Article 11 January 2023
  20. Doubly Nonlinear Nonlocal Diffusion Problems of Leray-Lions Type with Nonlinear Boundary Conditions

    This chapter is concerned with the existence and uniqueness of mild solutions of nonlocal nonlinear diffusion problems.
    José M. Mazón, Marcos Solera-Diana, J. Julián Toledo-Melero in Variational and Diffusion Problems in Random Walk Spaces
    Chapter 2023
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