Notes on the existence and uniqueness of solutions of Stieltjes differential equations
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DOI: 10.1002/mana.201900138
Abstract: We study some classical uniqueness and existence results, such as Peano's or Osgood's uniqueness criteria, in the context of Stieltjes differential equations. This type of equation is based on derivatives with respect to monotone functions,… read more here.
Keywords: existence uniqueness; notes existence; uniqueness solutions; solutions stieltjes ... See more keywords
Existence and uniqueness of solutions for nonlinear Volterra‐Fredholm integro‐differential equation of fractional order with boundary conditions
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DOI: 10.1002/mma.5845
Abstract: In this paper, we established some results concerning the existence and uniqueness of a nonlinear Volterra‐Fredholm integro‐differential equation of Caputo fractional order subject to the boundary value conditions. These new results are obtained by applying… read more here.
Keywords: existence uniqueness; volterra fredholm; integro differential; differential equation ... See more keywords
On the existence, uniqueness, and new analytic approximate solution of the modified error function in two‐phase Stefan problems
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DOI: 10.1002/mma.7457
Abstract: This paper provides a new proof of the existence and uniqueness of the solution for a nonlinear boundary value problem (1+δy)y′′+2x(1+γy)y′=0,0 read more here.
Keywords: existence uniqueness; approximate solution; uniqueness new; new analytic ... See more keywords
Existence and Uniqueness of Solution for Abstract Differential Equations with State-Dependent Time Impulses
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DOI: 10.1007/s00009-019-1308-z
Abstract: We study the existence and uniqueness of mild and classical solutions for abstract impulsive differential equations with state-dependent time impulses and an example is presented. read more here.
Keywords: state dependent; equations state; dependent time; differential equations ... See more keywords
On the Existence, Uniqueness and Regularity of Solutions for a Class of MHD Equations of Non-Newtonian Type
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DOI: 10.1007/s00009-020-01570-y
Abstract: In this paper, we consider a steady MHD fluid model of non-Newtonian type in a smooth bounded domain $$\Omega \in {\mathbb {R}}^3$$ . Using the iterative method, under the condition that the external force is… read more here.
Keywords: mhd; existence uniqueness; regularity; non newtonian ... See more keywords
Existence and Uniqueness of Solution for Stieltjes Differential Equations with Several Derivators
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DOI: 10.1007/s00009-021-01817-2
Abstract: In this paper, we study some existence and uniqueness results for systems of differential equations in which each of the equations of the system involves a different Stieltjes derivative. Specifically, we show that this problems… read more here.
Keywords: solution stieltjes; differential equations; solution; stieltjes differential ... See more keywords
Existence and Uniqueness of Weighted Normal Pseudosolutions
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DOI: 10.1007/s10559-020-00270-5
Abstract: The problem of weighted least squares with positive definite weights M and N for matrices of arbitrary form and rank is analyzed. The existence and uniqueness of the M-weighted least-squares solution with a minimal N-norm… read more here.
Keywords: existence uniqueness; normal pseudosolutions; uniqueness weighted; weighted normal ... See more keywords
Existence and uniqueness of positive solutions of a system of nonlinear algebraic equations
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DOI: 10.1007/s10998-016-0179-3
Abstract: In this paper we consider the nonlinear system $$\gamma _i(x_i)=\sum _{j=1}^{m}g_{ij} (x_j)$$γi(xi)=∑j=1mgij(xj), $$ 1\le i \le m$$1≤i≤m. We give sufficient conditions which imply the existence and uniqueness of positive solutions of the system. Our theorem… read more here.
Keywords: uniqueness positive; system; existence uniqueness; positive solutions ... See more keywords
Existence and uniqueness results in weighted spaces for Dirichlet problem in unbounded domains
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DOI: 10.1007/s11587-019-00465-9
Abstract: We study the Dirichlet problem for a second order linear elliptic partial differential equation with discontinuous coefficients in unbounded domains. We establish an existence and uniqueness result. read more here.
Keywords: dirichlet problem; unbounded domains; existence uniqueness; uniqueness results ... See more keywords
Existence and uniqueness of fixed points for monotone operators in partially ordered Banach spaces and applications
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DOI: 10.1007/s11784-021-00853-5
Abstract: In this paper, we employ partial order method, cone theory, and the techniques of measure of weak noncompactness to prove several new theorems on the existence and the uniqueness of fixed points or coupled fixed… read more here.
Keywords: points monotone; fixed points; monotone operators; uniqueness fixed ... See more keywords
Existence, uniqueness, Ulam–Hyers stability and numerical simulation of solutions for variable order fractional differential equations in fluid mechanics
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DOI: 10.1007/s12190-021-01537-6
Abstract: In this paper, a numerical approximation is shown to solve solutions of time fractional linear differential equations of variable order in fluid mechanics where the considered fractional derivatives of variable order are in the Caputo… read more here.
Keywords: variable order; differential equations; mechanics; existence uniqueness ... See more keywords