On the Riemann‐Hilbert boundary value problem for generalized analytic functions in the framework of variable exponent spaces
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DOI: 10.1002/mma.4528
Abstract: Let Γ be a simple closed curve that bounds the finite domain D, z=z(ζ)=z(reiϑ) be the conformal mapping of the circle {ζ:|ζ|2andsup0 read more here.
Keywords: riemann hilbert; hilbert boundary; class; value problem ... See more keywords
Curvilinear integrals of discontinuous functions over nonrectifiable paths and Riemann boundary‐value problem
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DOI: 10.1002/mma.5474
Abstract: We study a generalization of the concept of curvilinear integral for the case where path of integration is nonrectifiable, and integrand has discontinuities. Then we apply that integrals for solving of the Riemann boundary‐value problem… read more here.
Keywords: boundary value; value problem; curvilinear integrals; riemann boundary ... See more keywords
Global existence of solutions of initial boundary value problem for nonlocal parabolic equation with nonlocal boundary condition
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DOI: 10.1002/mma.6286
Abstract: We prove the global existence and blow‐up of solutions of an initial boundary value problem for nonlinear nonlocal parabolic equation with nonlinear nonlocal boundary condition. Obtained results depend on the behavior of variable coefficients for… read more here.
Keywords: boundary value; global existence; nonlocal parabolic; solutions initial ... See more keywords
Invariant varieties of the periodic boundary value problem of the nonlocal Ginzburg–Landau equation
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DOI: 10.1002/mma.7103
Abstract: One of the variants of the nonlocal Ginzburg–Landau equation is considered. This equation arises in the mathematical modeling of physical phenomena, such as ferromagnetism. For the corresponding initial boundary value problem in the case of… read more here.
Keywords: boundary value; equation; nonlocal ginzburg; value problem ... See more keywords
On multiple solutions for a fourth order nonlinear singular boundary value problems arising in epitaxial growth theory
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DOI: 10.1002/mma.7119
Abstract: In this article, we consider the fourth order non‐self‐adjoint singular boundary value problem 1rr1rrϕ′′′′=ϕ′ϕ″r+λ, with λ as a parameter measures the speed at which new particles are deposited. This differential equation is non‐self‐adjoint, so finding… read more here.
Keywords: boundary value; fourth order; value; singular boundary ... See more keywords
Multiple Positive Solutions of a Fourth-order Boundary Value Problem
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DOI: 10.1007/s00009-017-0843-8
Abstract: We consider the nonlinear fourth-order semipositone boundary value problem $$\begin{aligned} u^{(4)}=f(t,u(t),u'(t)), \quad t \in (0,1), \end{aligned}$$u(4)=f(t,u(t),u′(t)),t∈(0,1),$$\begin{aligned} u(0)=u'(0)=u''(1)=u'''(1)=0, \end{aligned}$$u(0)=u′(0)=u′′(1)=u′′′(1)=0,where $$f: [0,1] \times [0,\infty ) \times [0, \infty ) \rightarrow (-\infty , \infty )$$f:[0,1]×[0,∞)×[0,∞)→(-∞,∞) has the property… read more here.
Keywords: fourth order; value problem; boundary value;
Approximating Monotone Positive Solutions of a Nonlinear Fourth-Order Boundary Value Problem via Sum Operator Method
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DOI: 10.1007/s00009-017-0844-7
Abstract: In this article, the authors investigate the existence and uniqueness as well as approximations of monotone positive solutions for a nonlinear fourth-order boundary value problem of the form $$ u^{(4)}(t)=f(t,u(t)),\ 0< t read more here.
Keywords: value problem; monotone positive; positive solutions; boundary value ... See more keywords
The Positive Solutions for Integral Boundary Value Problem of Fractional p-Laplacian Equation with Mixed Derivatives
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DOI: 10.1007/s00009-017-0895-9
Abstract: In this paper, we consider a class of integral boundary value problems of fractional p-Laplacian equation, which involve both Riemann–Liouville fractional derivative and Caputo fractional derivative. By using the generalization of Leggett–Williams fixed point theorem,… read more here.
Keywords: fractional laplacian; positive solutions; value; integral boundary ... See more keywords
Classifying First Extremal Points for a Fractional Boundary Value Problem with a Fractional Boundary Condition
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DOI: 10.1007/s00009-017-0974-y
Abstract: Let $$n\in \mathbb {N}$$n∈N, $$n\ge 2$$n≥2, $$\beta >0$$β>0 fixed, and $$0 read more here.
Keywords: value problem; boundary value; extremal points; fractional boundary ... See more keywords
Existence of Solutions of Nonlinear and Non-local Fractional Boundary Value Problems
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DOI: 10.1007/s00009-019-1388-9
Abstract: In this paper, we establish new results for non-local boundary value problems. In particular, we study a fractional differential equation where the associated integral equation has a kernel that is not bounded above and changes… read more here.
Keywords: existence solutions; boundary value; solutions nonlinear; non local ... See more keywords
On the Solvability of One Boundary Value Problem for a Class of Higher-Order Nonlinear Partial Differential Equations
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DOI: 10.1007/s00009-021-01752-2
Abstract: The boundary value problem for a class of higher-order nonlinear partial differential equations is considered. The theorems on existence, uniqueness and nonexistence of solutions of this problem are proved. read more here.
Keywords: class higher; value problem; problem; boundary value ... See more keywords